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Solution : Total number of times the three coins are tossed = 200. Number of times 3 heads (or 3 Heads & 0 Tail) come = 23. Number of times 2 heads (or 2 Heads and 1 Tail) come = 72.If three coins are tossed simultaneously, what is the probability of getting atmost two heads? When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8`If three coins are tossed simultaneously, what is the probability of getting atmost two heads? When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. The chance of getting head is 1/2 And the chances of getting 6 heads from 6 coins : 1/2 x 6 = 3 But the chance of getting 3 heads from 6 coin is : 1/2 x 6 divide by 1/2 = 3 divide by 1/2 = 3 x 2/1 = 6Mar 28, 2018 · Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail If three coins are tossed, then the possible outcomes will be: (HHH), (HHT), (HTH), (THH), (TTT), (TTH), (THT), (HTT) Total outcomes = 8 Number of outcomes with two possible heads = 4 Therefore, the propbability of getting atleast two heads = (Number of outcomes with two possible heads)/ (Total outcomes) = 4/8 = 1/2 Was this answer helpful? 2.5 (2)Solution When three coins are tossed simultaneously, t h e s a m p l e s p a c e b e c o m e s 2 3 = 8 S = HHH, HHT, HTH, THH, TTH, THT, HTT, TTT Probability of getting at most two heads: Let A be the event of getting at most two heads. So, the favourable outcome are HHT, HTH, TTT, THH, TTH, THT, HTT. Therefore, n ( A) = 7Detailed Solution. Download Solution PDF. When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, Favourable events = { (H, H, T), (H, T, H), (T, H, H), (H, H, H)} ⇒ n (E) = 4. As we know that probability of an event 'E', { P ( E) = n ( E) n ( S) }Correct option is C) Possible outcomes of tossing three coins are: (HHH), (HHT), (HTH), (THH), (TTT), (TTH), (THT), (HTT) here H and T are denoted for Head and Tail. Total outcomes = 8 no. of outcomes with at least two heads = 4 ∴ required probability = 84=21 ∴ Option C is correct. Was this answer helpful? 0 0 >The chance of getting head is 1/2 And the chances of getting 6 heads from 6 coins : 1/2 x 6 = 3 But the chance of getting 3 heads from 6 coin is : 1/2 x 6 divide by 1/2 = 3 divide by 1/2 = 3 x 2/1 = 6What is the probability of getting three heads given that at least two coins show heads? Maharashtra State Board HSC Arts 11th. Textbook Solutions 9042 ... When three fair coins are tossed, the sample space is. S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} ∴ n(S) = 8. Let event A: Getting three heads.If the three coins are again tossed simultaneously at random, find the probability of getting (i) 1 head (ii) 2 heads and 1 tail (iii) All tails. Solution: (i) Total number of trials = 250. Number of times 1 head appears = 100. Therefore, the probability of getting 1 head When three fair coins are tossed, the sample space is. S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} ∴ n(S) = 8. Let event A: Getting three heads. (i) Probability of 3 heads = 1/8 Also, Probability of 3 tails =1/8. Required probability = 1- (1/8 + 1/8) = 6/8 = 3/4. Share with a friend Answer this doubt Question Description Three coins are tossed. What is the probability of getting (i) neither 3 Heads nor 3 Tails?a)1/2b)1/3c)2/3d)3/4Correct answer is option 'D'.GIVEN: Three coins are tossed simultaneously. When three coins are tossed then the possible outcome will be: TTT, THT, TTH, THH. HTT, HHT, HTH, HHH. Total number of outcomes = 8. (i) Let E1 = Event of getting exactly two heads Then the outcome variable to E1 is THH, HHT ,HTH. Number of outcomes favourable to E1 = 3If the three coins are again tossed simultaneously at random, find the probability of getting (i) 1 head (ii) 2 heads and 1 tail (iii) All tails. Solution: (i) Total number of trials = 250. Number of times 1 head appears = 100. Therefore, the probability of getting 1 head SOLUTION. Let H : Head and, T : Tail then the outcomes when 3 coins are tossed simultaneously are. Thus total outcomes are 8. two heads means exactly 2 heads When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Probability Question Download Solution PDF When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free TestsAccording to the question we can say, a coin is tossed twice. As we all know that, coin has two faces one is head and other one is tail. The possibilities that getting head and tail when three coins are tossed, = {HHH, TTT, HHT, HTT, THH, TTH, HTH, THT} Total number of outcomes . Thus, favorable outcomes for getting at least heads are: HHH, HHT ...If three coins are tossed simultaneously, what is the probability of getting atmost two heads? If three coins are tossed simultaneously, what is the probability of getting atmost two heads? Probability of getting two heads. = 3 8. . Therefore, the probability of getting exactly 2 heads when three coins tossed simultaneously equals to. 3 8. . Note: Be careful while writing the sample space or total possible outcomes as there is a chance of missing any one of the outcomes.Dec 12, 2019 · 2 These are all independent events. So, the first coin being a head has no effect on the other two coins being heads. That being said, the probability of all three being heads given the first is a head, is simply the probability that the last two are heads. This happens with probability 1 4. Share answered Dec 12, 2019 at 19:44 Saketh Malyala When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Three coins are tossed simultaneously. What is the probability of getting at least two heads? According to the question we can say, a coin is tossed twice. As we all know that, coin has two faces one is head and other one is tail. The possibilities that getting head and tail when three coins are tossed, = {HHH, TTT, HHT, HTT, THH, TTH, HTH, THT} When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, ... ∴ Required probability = 4/8 = 1/2. When three coins are tossed, total possible outcomes = 8 S = {HHH, HHT, HTT, THH, TTH, THT, HTH} Favourable cases = {HHT,HTT,THH,TTH,THT,HTH} Here, H = Head, T = Tail P (getting at least one head, one tail) = 6/8 = 3/4 ∴ The probability is 3/4. Download Solution PDF India's #1 Learning Platform Start Complete Exam Preparation1 pragynarayan Getting a heads in a coin is 50% chance. So, not getting a heads in a coin is also 50%. For 2 coins, the overall stack is 50%. If it is 1 head 1 tail, the result of heads is 50%. 2 heads=75% heads 0 heads=25% hesads AdvertisementThree unbiased coins are tossed .what is the probability of getting (1) two head (2) at least two tail (3) exactly 3 tail (4) at most one head (5) at least three tail Q.2 if alpha and beta are zeroes of the polynomial 3x^2+2x-6, find the value of (1) alpha - Berta (2) alpha^2+ beeta^2 (3) alpha^3+beeta^3 (4) 1/alpha+ 1/ beetaProbability of getting two heads. = 3 8. . Therefore, the probability of getting exactly 2 heads when three coins tossed simultaneously equals to. 3 8. . Note: Be careful while writing the sample space or total possible outcomes as there is a chance of missing any one of the outcomes.Correct option is C) Possible outcomes of tossing three coins are: (HHH), (HHT), (HTH), (THH), (TTT), (TTH), (THT), (HTT) here H and T are denoted for Head and Tail. Total outcomes = 8 no. of outcomes with at least two heads = 4 ∴ required probability = 84=21 ∴ Option C is correct. Was this answer helpful? 0 0 >Mar 28, 2018 · answered Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail 2 See answers Advertisement Answer 5.0 /5 4 Brainly User Atleast 2 head = Exactly 2 heads + all 3 heads All three heads is (1/2)* (1/2)* (1/2)=1/8 If three coins are tossed simultaneously, what is the probability of getting two heads together? Mar 28, 2018 · answered Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail 2 See answers Advertisement Answer 5.0 /5 4 Brainly User Atleast 2 head = Exactly 2 heads + all 3 heads All three heads is (1/2)* (1/2)* (1/2)=1/8 Jul 29, 2019 · Answer: 1/2 . Step by step explanation: . A coin has two sides. Heads ( H ) and Tails ( T ). If we toss three coins, then all possible outcomes are: Best answer When two coins are tossed simultaneously, all possible outcomes are HH, HT, TH, TT. Total number of possible outcomes = 4. Let E be the event of getting at least one head. Then, E is the event of getting 1 head or 2 heads. So, the favourable outcomes are HT, TH, HH. Number of favourable outcomes = 3.Probability Question Download Solution PDF When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free TestsTwo unbiased coins are tossed simultaneously. Find the probability of getting (i) two heads (ii) at least one head (iii) at most one head. asked Feb 7, 2019 in Mathematics by Devanshi ( 67.9k points)Question Three coins are tossed together. Find the probability of getting : (i) exactly two heads (ii) at least two heads (iii) at least one head and one tail (iv) no tails Solution Total number of events tossed by 3 coins each having one head and one tail = 2×2×2 =8Probability Question Download Solution PDF When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free TestsIf three coins are tossed simultaneously, what is the probability of getting atmost two heads? If three coins are tossed simultaneously, what is the probability of getting two heads together? If three coins are tossed, then the possible outcomes will be: (HHH), (HHT), (HTH), (THH), (TTT), (TTH), (THT), (HTT) Total outcomes = 8 Number of outcomes with two possible heads = 4 Therefore, the propbability of getting atleast two heads = (Number of outcomes with two possible heads)/ (Total outcomes) = 4/8 = 1/2 Was this answer helpful? 2.5 (2)When you toss 3 coins simultaneously, the possibility of outcomes are (HHT), or (TTH) or (HHH) or (THT) or (THH) or (HTH) or (HTT) or (TTT), where H is called the heads and T is called the tails. Therefore, the total number of toss for outcome = 2 3 =8 Important FormulaeWhen 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` What is the probability of getting three heads given that at least two coins show heads? Maharashtra State Board HSC Arts 11th. Textbook Solutions 9042 ... When three fair coins are tossed, the sample space is. S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} ∴ n(S) = 8. Let event A: Getting three heads.Summary: The Probability of getting two heads and one tails in the toss of three coins simultaneously is 3/8 or 0.375.Apr 26, 2020 · Answer:3/8 is the probability of getting 2 H and 1 T simultaneously.[ Total of outcomes = 8, No. of favorable outcomes = 3 {HHT, HTH, THH} ] When you toss 3 coins simultaneously, the possibility of outcomes are (HHT), or (TTH) or (HHH) or (THT) or (THH) or (HTH) or (HTT) or (TTT), where H is called the heads and T is called the tails. Therefore, the total number of toss for outcome = 2 3 =8 Important FormulaeExplanation: When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8 Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3 ∴ Probability of getting exactly 2 heads = P (E) = 3 8 Step-by-step explanation: Three balanced coins are tossed simultaneously, find the probability of receiving at least. two heads.you have a good time to get a job in a new way and the president of our country will you come back to us qu in a moment and we'll see if he will you do that for you in a very long way that you have a good chance to make sure you are going through a very small and ...Three coins are tossed simultaneously. Possible outcomes ={HHH,HHT,HTH,HTT,TTT,TTH,THT,THH} No. of total outcomes =8 Favourable outcomes ={HHT,HTH,THH} No. of favourable outcomes =3 Therefore, Probability of getting exactly two heads = No. of total outcomesNo. of favourable outcomes = 83 Hence the probability of getting exactly two heads is 83.When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Two unbiased coins are tossed simultaneously. Find the probability of getting (i) two heads (ii) at least one head (iii) at most one head. asked Feb 7, 2019 in Mathematics by Devanshi ( 67.9k points)To get probabilities out of a tree diagram, we multiply the probabilities along the branches. So, the probability of getting three heads is P ( Three Heads) = 1 2 × 1 2 × 1 2 = 1 8. 2) Getting two Tails We can see that there are three events that have two tails,i.e., E 1 = { T T H }, E 2 = { H T T } and E 3 = { T H T }.Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 dendendenden018 dendendenden018 09.05.2021 ... Step-by-step explanation: there are 3 coins, so obviously you'd have 1/3 (one-third) probability of getting 1 or 2 heads. arigathankyouguzaimasu Advertisement Advertisement New questions in Math.Apr 26, 2020 · Answer:3/8 is the probability of getting 2 H and 1 T simultaneously. ... Three coins are tossed simultaneously. What is the probability that 2 heads one tail will ... SOLUTION. Let H : Head and, T : Tail then the outcomes when 3 coins are tossed simultaneously are. Thus total outcomes are 8. two heads means exactly 2 heads Out of these total possibilities, there are four ways to get two heads: HHT / HTH / THH / HHH So, the chances of getting at least two heads when tossing three coins at the same time is 4/8 (Because all the 8 possibilities are equally likely) 50 percent. Philip Lloyd Specialist Calculus Teacher, Motivator and Baroque Trumpet Soloist. If the three coins are simultaneously tossed again compute the probability of 2 heads coming up. (A) 3/8 (B) 1/4 (C) 5/8 (D) 3/4 probability class-9 1 Answer 0 votes answered Jun 19, 2018 by paayal (148k points) selected Jun 23, 2018 by Vikash Kumar Best answer The correct answer is (A) 3/8 ← Prev Question Next Question → Find MCQs & Mock TestThree coins are tossed simultaneously. What is the probability of getting at least two heads? According to the question we can say, a coin is tossed twice. As we all know that, coin has two faces one is head and other one is tail. The possibilities that getting head and tail when three coins are tossed, = {HHH, TTT, HHT, HTT, THH, TTH, HTH, THT} Three coins are tossed simultaneously. Possible outcomes ={HHH,HHT,HTH,HTT,TTT,TTH,THT,THH} No. of total outcomes =8 Favourable outcomes ={HHT,HTH,THH} No. of favourable outcomes =3 Therefore, Probability of getting exactly two heads = No. of total outcomesNo. of favourable outcomes = 83 Hence the probability of getting exactly two heads is 83.When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, ... ∴ Required probability = 4/8 = 1/2. Probability Question Download Solution PDF When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free TestsThree unbiased coins are tossed together. Find the probability of getting (a) (i) one tail(ii) two tails(iii) all tails(iv) at least two tails (b) (i) at most two tails(ii) At most two heads Medium Solution Verified by Toppr Here S= ( TTT,TTH,THT,HTT,THH,HTH,HHT,HHH ) a (i) one tail (THH,HTH,HHH) Then E=3 So (p)= n(S)n(E)= 83 a (ii) two tails1 pragynarayan Getting a heads in a coin is 50% chance. So, not getting a heads in a coin is also 50%. For 2 coins, the overall stack is 50%. If it is 1 head 1 tail, the result of heads is 50%. 2 heads=75% heads 0 heads=25% hesads AdvertisementFeb 11, 2020 · Ex 16.3, 8 Three coins are tossed once. Find the probability of getting 3 heads If 3 coins are tossed various combination possible are S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} n(S) = 23= 8 Let A be the event of getting 3 head A = {HHH} ∴ n(A) = 1 Probability of 3 heads = P(A) We can re-write the binomial distribution as, (i). We need to find the probability of getting 3 heads. It is given by, Probability = P (X = 3) So, putting r = 3 in equation (A). We get Thus, the probability of getting 3 heads out of tosses of 6 coins is 5 16. 5 16. (ii). We need to find the probability of getting no head. It is given by,Three coins are tossed simultaneously. What is the probability of getting at least two heads? According to the question we can say, a coin is tossed twice. As we all know that, coin has two faces one is head and other one is tail. The possibilities that getting head and tail when three coins are tossed, = {HHH, TTT, HHT, HTT, THH, TTH, HTH, THT} When 3 coins are tossed, the number of outcomes = 2 3 = 8. What is the probability of getting all heads, when 3 coins are tossed simultaneously? When 3 coins are tossed, the favourable outcome is HHH. So required probability = 1/8. Test your Knowledge on Probability Put your understanding of this concept to test by answering a few MCQs.When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 dendendenden018 dendendenden018 09.05.2021 ... Step-by-step explanation: there are 3 coins, so obviously you'd have 1/3 (one-third) probability of getting 1 or 2 heads. arigathankyouguzaimasu Advertisement Advertisement New questions in Math.We can re-write the binomial distribution as, (i). We need to find the probability of getting 3 heads. It is given by, Probability = P (X = 3) So, putting r = 3 in equation (A). We get Thus, the probability of getting 3 heads out of tosses of 6 coins is 5 16. 5 16. (ii). We need to find the probability of getting no head. It is given by,May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. For getting at least two heads the favourable outcomes are HHT, HTH, HHH, and THH. So, the total number of favourable outcomes is 4. We know that, Probability = Number of favourable outcomes/ Total number of outcomes. Thus, the probability of getting at least two heads when three coins are tossed simultaneously = 4/8 = 1/2Probability Question Download Solution PDF When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free Tests(i) Probability of 3 heads = 1/8 Also, Probability of 3 tails =1/8. Required probability = 1- (1/8 + 1/8) = 6/8 = 3/4. Share with a friend Answer this doubt Question Description Three coins are tossed. What is the probability of getting (i) neither 3 Heads nor 3 Tails?a)1/2b)1/3c)2/3d)3/4Correct answer is option 'D'.If three coins are tossed simultaneously, what is the probability of getting two heads together? If three coins are tossed simultaneously, what is the probability of getting atmost two heads? Answer:3/8 is the probability of getting 2 H and 1 T simultaneously.[ Total of outcomes = 8, No. of favorable outcomes = 3 {HHT, HTH, THH} ] ... answered Three coins are tossed simultaneously. What is the probability that 2 heads one tail will fall? 2Feb 11, 2020 · Ex 16.3, 8 Three coins are tossed once. Find the probability of getting 3 heads If 3 coins are tossed various combination possible are S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} n(S) = 23= 8 Let A be the event of getting 3 head A = {HHH} ∴ n(A) = 1 Probability of 3 heads = P(A) When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Mar 28, 2018 · Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail If the three coins are again tossed simultaneously at random, find the probability of getting (i) 1 head (ii) 2 heads and 1 tail (iii) All tails. Solution: (i) Total number of trials = 250. Number of times 1 head appears = 100. Therefore, the probability of getting 1 head If three coins are tossed simultaneously, what is the probability of getting atmost two heads? SOLUTION. Let H : Head and, T : Tail then the outcomes when 3 coins are tossed simultaneously are. Thus total outcomes are 8. two heads means exactly 2 heads Three coins are tossed simultaneously. Formula: Probability = Number of favorable outcomes/ Total number of outcomes. Calculation: When three coins are tossed then the outcome will be any one of these combinations. (TTT, THT, TTH, THH. HTT, HHT, HTH, HHH). So, the total number of outcomes is 8. Now, for exactly two heads, the favorable outcome ...If three coins are tossed simultaneously, what is the probability of getting atmost two heads? For getting at least two heads the favourable outcomes are HHT, HTH, HHH, and THH. So, the total number of favourable outcomes is 4. We know that, Probability = Number of favourable outcomes/ Total number of outcomes. Thus, the probability of getting at least two heads when three coins are tossed simultaneously = 4/8 = 1/21 pragynarayan Getting a heads in a coin is 50% chance. So, not getting a heads in a coin is also 50%. For 2 coins, the overall stack is 50%. If it is 1 head 1 tail, the result of heads is 50%. 2 heads=75% heads 0 heads=25% hesads AdvertisementWhen 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Three coins are tossed simultaneously. What is the probability of getting at least two heads? According to the question we can say, a coin is tossed twice. As we all know that, coin has two faces one is head and other one is tail. The possibilities that getting head and tail when three coins are tossed, = {HHH, TTT, HHT, HTT, THH, TTH, HTH, THT} Answer: If you flip a coin 3 times, the probability of getting at least 2 heads is 1/2. When two coins are tossed the possible outcomes are? When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for ...Three coins are tossed simultaneously. Formula: Probability = Number of favorable outcomes/ Total number of outcomes. Calculation: When three coins are tossed then the outcome will be any one of these combinations. (TTT, THT, TTH, THH. HTT, HHT, HTH, HHH). So, the total number of outcomes is 8. Now, for exactly two heads, the favorable outcome ...Explanation: When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8 Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3 ∴ Probability of getting exactly 2 heads = P (E) = 3 8 If three coins are tossed simultaneously, what is the probability of getting atmost two heads? 2.Two numbers 'a' and 'b' are selected successively without replacement in that order from integers 1 to 10.The probability that a\b is an integer is a mising helicopter is reported to have crashed in a rectangular region of 7000 sq km. what is the probability that it has crashed in a circular lake of radius 10 km May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. Out of these total possibilities, there are four ways to get two heads: HHT / HTH / THH / HHH So, the chances of getting at least two heads when tossing three coins at the same time is 4/8 (Because all the 8 possibilities are equally likely) 50 percent. Philip Lloyd Specialist Calculus Teacher, Motivator and Baroque Trumpet Soloist. Find the probability of getting:(i) exactly two heads (ii) at most two heads (iii) at least one head and one tail (iv) no tails. ... Join / Login. Question . Three coins are tossed together. Find the probability of getting: (i) exactly two heads (ii) at most two heads (iii) at least one head and one tail (iv) no tails. Medium. Open in App.Solution When three coins are tossed simultaneously, t h e s a m p l e s p a c e b e c o m e s 2 3 = 8 S = HHH, HHT, HTH, THH, TTH, THT, HTT, TTT Probability of getting at most two heads: Let A be the event of getting at most two heads. So, the favourable outcome are HHT, HTH, TTT, THH, TTH, THT, HTT. Therefore, n ( A) = 7 If three coins are tossed simultaneously, what is the probability of getting two heads together? May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. If three coins are tossed, then the possible outcomes will be: (HHH), (HHT), (HTH), (THH), (TTT), (TTH), (THT), (HTT) Total outcomes = 8 Number of outcomes with two possible heads = 4 Therefore, the propbability of getting atleast two heads = (Number of outcomes with two possible heads)/ (Total outcomes) = 4/8 = 1/2 Was this answer helpful? 2.5 (2)Step-by-step explanation: Three balanced coins are tossed simultaneously, find the probability of receiving at least. two heads.you have a good time to get a job in a new way and the president of our country will you come back to us qu in a moment and we'll see if he will you do that for you in a very long way that you have a good chance to make sure you are going through a very small and ...Feb 11, 2020 · Ex 16.3, 8 Three coins are tossed once. Find the probability of getting 3 heads If 3 coins are tossed various combination possible are S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} n(S) = 23= 8 Let A be the event of getting 3 head A = {HHH} ∴ n(A) = 1 Probability of 3 heads = P(A) When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, ... ∴ Required probability = 4/8 = 1/2. If three coins are tossed simultaneously, what is the probability of getting atmost two heads? When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free Tests View all Free tests > Free When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8`Mar 28, 2018 · answered Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail 2 See answers Advertisement Answer 5.0 /5 4 Brainly User Atleast 2 head = Exactly 2 heads + all 3 heads All three heads is (1/2)* (1/2)* (1/2)=1/8 When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, ... ∴ Required probability = 4/8 = 1/2. Dec 12, 2019 · 2 These are all independent events. So, the first coin being a head has no effect on the other two coins being heads. That being said, the probability of all three being heads given the first is a head, is simply the probability that the last two are heads. This happens with probability 1 4. Share answered Dec 12, 2019 at 19:44 Saketh Malyala When you toss 3 coins simultaneously, the possibility of outcomes are (HHT), or (TTH) or (HHH) or (THT) or (THH) or (HTH) or (HTT) or (TTT), where H is called the heads and T is called the tails. Therefore, the total number of toss for outcome = 2 3 =8 Important FormulaeTherefore the probability of getting at least two heads when three coins are simultaneously tossed = n (E)/n (S) = 4/8 =1/2. Mike Ramsay Former Manufacturing Operations Supply Chain and 6sigma Author has 161 answers and 189.1K answer views 4 y Related Three coins are tossed simultaneously. Step-by-step explanation: Three balanced coins are tossed simultaneously, find the probability of receiving at least. two heads.you have a good time to get a job in a new way and the president of our country will you come back to us qu in a moment and we'll see if he will you do that for you in a very long way that you have a good chance to make sure you are going through a very small and ...If three coins are tossed simultaneously, what is the probability of getting atmost two heads? Three coins are tossed simultaneously. What is the probability of getting at least two heads? According to the question we can say, a coin is tossed twice. As we all know that, coin has two faces one is head and other one is tail. The possibilities that getting head and tail when three coins are tossed, = {HHH, TTT, HHT, HTT, THH, TTH, HTH, THT} three coins are tossed simultaneously What is the probability of getting exactly two headsa 12 b 14 c 38 d 34 Let H Head and T Tail then the outcomes . Grade; three coins are tossed simultaneously What is the proba ... three coins are tossed simultaneously. What is the probability of getting exactly two heads? (a) 1 2 (b) 1 4 (c) ...When three coins are tossed then the outcome will be any one of these combinations. (TTT, THT, TTH, THH. HTT, HHT, HTH, HHH). So, the total number of outcomes is 8. Now, for exactly two heads, the favorable outcome is (THH, HHT, HTH). We can say that the total number of favorable outcomes is 3. Again, from the formula.The ratio of radii of a cylinder to a that of a cone is 1 : 2. if their heights are equal, find the ratio of their volumes Q5. Find the weight of a cylindrical metal container with base radius 10.5 cm and height 6 m where the weight of 1 cm3 of metal is 5 grams. May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. When 3 coins are tossed, the number of outcomes = 2 3 = 8. What is the probability of getting all heads, when 3 coins are tossed simultaneously? When 3 coins are tossed, the favourable outcome is HHH. So required probability = 1/8. Test your Knowledge on Probability Put your understanding of this concept to test by answering a few MCQs.Apr 26, 2020 · Answer:3/8 is the probability of getting 2 H and 1 T simultaneously.[ Total of outcomes = 8, No. of favorable outcomes = 3 {HHT, HTH, THH} ] When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Solution When three coins are tossed simultaneously, t h e s a m p l e s p a c e b e c o m e s 2 3 = 8 S = HHH, HHT, HTH, THH, TTH, THT, HTT, TTT Probability of getting at most two heads: Let A be the event of getting at most two heads. So, the favourable outcome are HHT, HTH, TTT, THH, TTH, THT, HTT. Therefore, n ( A) = 7If three coins are tossed simultaneously, what is the probability of getting atmost two heads? When you toss 3 coins simultaneously, the possibility of outcomes are (HHT), or (TTH) or (HHH) or (THT) or (THH) or (HTH) or (HTT) or (TTT), where H is called the heads and T is called the tails. Therefore, the total number of toss for outcome = 2 3 =8 Important FormulaeDec 12, 2019 · 2 These are all independent events. So, the first coin being a head has no effect on the other two coins being heads. That being said, the probability of all three being heads given the first is a head, is simply the probability that the last two are heads. This happens with probability 1 4. Share answered Dec 12, 2019 at 19:44 Saketh Malyala When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Apr 26, 2020 · Answer:3/8 is the probability of getting 2 H and 1 T simultaneously.[ Total of outcomes = 8, No. of favorable outcomes = 3 {HHT, HTH, THH} ] If three coins are tossed simultaneously, what is the probability of getting atmost two heads? Solution : Total number of times the three coins are tossed = 200. Number of times 3 heads (or 3 Heads & 0 Tail) come = 23. Number of times 2 heads (or 2 Heads and 1 Tail) come = 72.Out of these total possibilities, there are four ways to get two heads: HHT / HTH / THH / HHH So, the chances of getting at least two heads when tossing three coins at the same time is 4/8 (Because all the 8 possibilities are equally likely) 50 percent. Philip Lloyd Specialist Calculus Teacher, Motivator and Baroque Trumpet Soloist.Answer: If you flip a coin 3 times, the probability of getting at least 2 heads is 1/2. When two coins are tossed the possible outcomes are? When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for ...Dec 30, 2018 · Given that 3 coins are tossed, let us assume that the coins are fair that means. probability of getting a head = probability of getting a tail. This follows a binomial distribution . Let us assume that getting a tail as success let it be 'x' Now, we need to find P(x≤2) In a binomial distribution with n trials and 'p' as probability of success If three coins are tossed simultaneously, what is the probability of getting atmost two heads? Detailed Solution. Download Solution PDF. When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, Favourable events = { (H, H, T), (H, T, H), (T, H, H), (H, H, H)} ⇒ n (E) = 4. As we know that probability of an event 'E', { P ( E) = n ( E) n ( S) }Probability of getting two heads. = 3 8. . Therefore, the probability of getting exactly 2 heads when three coins tossed simultaneously equals to. 3 8. . Note: Be careful while writing the sample space or total possible outcomes as there is a chance of missing any one of the outcomes.Apr 26, 2020 · Answer:3/8 is the probability of getting 2 H and 1 T simultaneously.[ Total of outcomes = 8, No. of favorable outcomes = 3 {HHT, HTH, THH} ] Explanation: When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8 Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3 ∴ Probability of getting exactly 2 heads = P (E) = 3 8 Three unbiased coins are tossed together. Find the probability of getting (a) (i) one tail(ii) two tails(iii) all tails(iv) at least two tails (b) (i) at most two tails(ii) At most two heads Medium Solution Verified by Toppr Here S= ( TTT,TTH,THT,HTT,THH,HTH,HHT,HHH ) a (i) one tail (THH,HTH,HHH) Then E=3 So (p)= n(S)n(E)= 83 a (ii) two tailsMay 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. Dec 12, 2019 · 2 These are all independent events. So, the first coin being a head has no effect on the other two coins being heads. That being said, the probability of all three being heads given the first is a head, is simply the probability that the last two are heads. This happens with probability 1 4. Share answered Dec 12, 2019 at 19:44 Saketh Malyala Mar 28, 2018 · answered Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail 2 See answers Advertisement Answer 5.0 /5 4 Brainly User Atleast 2 head = Exactly 2 heads + all 3 heads All three heads is (1/2)* (1/2)* (1/2)=1/8 Step-by-step explanation: Three balanced coins are tossed simultaneously, find the probability of receiving at least. two heads.you have a good time to get a job in a new way and the president of our country will you come back to us qu in a moment and we'll see if he will you do that for you in a very long way that you have a good chance to make sure you are going through a very small and ...Three coins are tossed simultaneously. What is the probability of getting at least two heads? According to the question we can say, a coin is tossed twice. As we all know that, coin has two faces one is head and other one is tail. The possibilities that getting head and tail when three coins are tossed, = {HHH, TTT, HHT, HTT, THH, TTH, HTH, THT} Mar 28, 2018 · Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail GIVEN: Three coins are tossed simultaneously. When three coins are tossed then the possible outcome will be: TTT, THT, TTH, THH. HTT, HHT, HTH, HHH. Total number of outcomes = 8. (i) Let E1 = Event of getting exactly two heads Then the outcome variable to E1 is THH, HHT ,HTH. Number of outcomes favourable to E1 = 3Jan 09, 2019 · When three coins are tossed then the possible outcome will be: TTT, THT, TTH, THH. HTT, HHT, HTH, HHH. Total number of outcomes = 8. (i) Let E1 = Event of getting exactly two heads Then the outcome variable to E1 is THH, HHT ,HTH. Number of outcomes favourable to E1 = 3 Probability (E1) = Number of favourable outcomes / Total number of outcomes May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. 2.Two numbers 'a' and 'b' are selected successively without replacement in that order from integers 1 to 10.The probability that a\b is an integer is a mising helicopter is reported to have crashed in a rectangular region of 7000 sq km. what is the probability that it has crashed in a circular lake of radius 10 km We can re-write the binomial distribution as, (i). We need to find the probability of getting 3 heads. It is given by, Probability = P (X = 3) So, putting r = 3 in equation (A). We get Thus, the probability of getting 3 heads out of tosses of 6 coins is 5 16. 5 16. (ii). We need to find the probability of getting no head. It is given by,Three coins are tossed simultaneously. Possible outcomes ={HHH,HHT,HTH,HTT,TTT,TTH,THT,THH} No. of total outcomes =8 Favourable outcomes ={HHT,HTH,THH} No. of favourable outcomes =3 Therefore, Probability of getting exactly two heads = No. of total outcomesNo. of favourable outcomes = 83 Hence the probability of getting exactly two heads is 83.If three coins are tossed, then the possible outcomes will be: (HHH), (HHT), (HTH), (THH), (TTT), (TTH), (THT), (HTT) Total outcomes = 8 Number of outcomes with two possible heads = 4 Therefore, the propbability of getting atleast two heads = (Number of outcomes with two possible heads)/ (Total outcomes) = 4/8 = 1/2 Was this answer helpful? 2.5 (2)Jun 16, 2021 · Best answer Three coins are tossed simultaneously. Therefore, the outcomes are {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} Hence, total outcomes = n (S) = 8. Let event E be the event of getting exactly two heads. Outcomes which is favourable to event E are {HHT, HTH, THH}. Total outcomes which is favourable to event E = n (E) = 3. When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, ... ∴ Required probability = 4/8 = 1/2. May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. Probability = Number of favourable outcomes/total number of possible outcomes. Probability = 3/8 Hence when 3 coins are tossed, the probability of two heads and one tail is 3/8. Articles to Explore: It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. The ratio of radii of a cylinder to a that of a cone is 1 : 2. if their heights are equal, find the ratio of their volumes Q5. Find the weight of a cylindrical metal container with base radius 10.5 cm and height 6 m where the weight of 1 cm3 of metal is 5 grams. If three coins are tossed simultaneously, what is the probability of getting atmost two heads? When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, ... ∴ Required probability = 4/8 = 1/2. If the three coins are again tossed simultaneously at random, find the probability of getting (i) 1 head (ii) 2 heads and 1 tail (iii) All tails. Solution: (i) Total number of trials = 250. Number of times 1 head appears = 100. Therefore, the probability of getting 1 head Explanation: When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8 Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3 ∴ Probability of getting exactly 2 heads = P (E) = 3 8 To get probabilities out of a tree diagram, we multiply the probabilities along the branches. So, the probability of getting three heads is P ( Three Heads) = 1 2 × 1 2 × 1 2 = 1 8. 2) Getting two Tails We can see that there are three events that have two tails,i.e., E 1 = { T T H }, E 2 = { H T T } and E 3 = { T H T }.Answer: 1/2 Step by step explanation: A coin has two sides. Heads ( H ) and Tails ( T ). If we toss three coins, then all possible outcomes are: (H, H, H) , (H,… layna3053 layna3053 29.07.2019 Math Secondary School answered • expert verified If three coins are tossed simultaneously then the probability of getting at least two heads is ...See full list on ccssmathanswers.com When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` Apr 26, 2020 · Answer:3/8 is the probability of getting 2 H and 1 T simultaneously. ... Three coins are tossed simultaneously. What is the probability that 2 heads one tail will ... If three coins are tossed simultaneously, what is the probability of getting two heads together? Out of these total possibilities, there are four ways to get two heads: HHT / HTH / THH / HHH So, the chances of getting at least two heads when tossing three coins at the same time is 4/8 (Because all the 8 possibilities are equally likely) 50 percent. Philip Lloyd Specialist Calculus Teacher, Motivator and Baroque Trumpet Soloist.If three coins are tossed simultaneously, what is the probability of getting atmost two heads? Best answer When 3 coins are tossed simultaneously, all possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. Total number of possible outcomes = 8. (i) Let E1 E 1 be the event of getting exactly 2 heads. Then, the favourable outcomes are HHT, HTH, THH. Number of favourable outcomes = 3.Mar 28, 2018 · answered Three coins are tossed simultaneously. Find the probability of getting: (1) exactly two tails (2) at least one tail (3) no tail 2 See answers Advertisement Answer 5.0 /5 4 Brainly User Atleast 2 head = Exactly 2 heads + all 3 heads All three heads is (1/2)* (1/2)* (1/2)=1/8 (i) Probability of 3 heads = 1/8 Also, Probability of 3 tails =1/8. Required probability = 1- (1/8 + 1/8) = 6/8 = 3/4. Share with a friend Answer this doubt Question Description Three coins are tossed. What is the probability of getting (i) neither 3 Heads nor 3 Tails?a)1/2b)1/3c)2/3d)3/4Correct answer is option 'D'.If the three coins are again tossed simultaneously at random, find the probability of getting (i) 1 head (ii) 2 heads and 1 tail (iii) All tails. Solution: (i) Total number of trials = 250. Number of times 1 head appears = 100. Therefore, the probability of getting 1 head When three coins are tossed simultaneously. ⇒ Sample space n (S) = 2 3 = 8. To get at least two heads, ... ∴ Required probability = 4/8 = 1/2. The chance of getting head is 1/2 And the chances of getting 6 heads from 6 coins : 1/2 x 6 = 3 But the chance of getting 3 heads from 6 coin is : 1/2 x 6 divide by 1/2 = 3 divide by 1/2 = 3 x 2/1 = 6Best answer Three coins are tossed simultaneously. Therefore, the outcomes are {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} Hence, total outcomes = n (S) = 8. Let event E be the event of getting exactly two heads. Outcomes which is favourable to event E are {HHT, HTH, THH}. Total outcomes which is favourable to event E = n (E) = 3.May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. When three coins are tossed then the outcome will be any one of these combinations. (TTT, THT, TTH, THH. HTT, HHT, HTH, HHH). So, the total number of outcomes is 8. Now, for exactly two heads, the favorable outcome is (THH, HHT, HTH). We can say that the total number of favorable outcomes is 3. Again, from the formula.When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free Tests View all Free tests > Free For getting at least two heads the favourable outcomes are HHT, HTH, HHH, and THH. So, the total number of favourable outcomes is 4. We know that, Probability = Number of favourable outcomes/ Total number of outcomes. Thus, the probability of getting at least two heads when three coins are tossed simultaneously = 4/8 = 1/2May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. Answer: If you flip a coin 3 times, the probability of getting at least 2 heads is 1/2. When two coins are tossed the possible outcomes are? When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for ...If three coins are tossed simultaneously, what is the probability of getting atmost two heads? Therefore the probability of getting at least two heads when three coins are simultaneously tossed = n (E)/n (S) = 4/8 =1/2. Mike Ramsay Former Manufacturing Operations Supply Chain and 6sigma Author has 161 answers and 189.1K answer views 4 y Related Three coins are tossed simultaneously. May 09, 2021 · Three coins are tossed simultaneously. What is the probability of getting 1 or 2 - 14490834 ... (one-third) probability of getting 1 or 2 heads. When 3 coins are tossed, the number of outcomes = 2 3 = 8. What is the probability of getting all heads, when 3 coins are tossed simultaneously? When 3 coins are tossed, the favourable outcome is HHH. So required probability = 1/8. Test your Knowledge on Probability Put your understanding of this concept to test by answering a few MCQs.When 3 coins are tossed simultaneously, the possible outcomes are HHH, HHT, HTH, THH, THT, HTT, TTH and TTT. Total number of possible outcomes = 8. Let E be the event of getting exactly two heads. Then, the favourable outcomes are HHT, THH, and HTH. Number of favourable outcomes = 3. ∴ Probability of getting exactly 2 heads = P(E) =`3/8` When three coins are tossed simultaneously, what is the probability that at least one of them is tails? 3/4 7/8 0 1 None of the above Answer (Detailed Solution Below) Option 2 : 7/8 Crack Bank Exams with India's Super Teachers FREE Demo Classes Available* Explore Supercoaching For FREE Free Tests View all Free tests > Free

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