Ask a Question

It has been found that if A and B play a game 12 times, A wins 6 times, B wins 4 times and they draw twice. A and B take part in a series of 3 games.

in Education by
It has been found that if A and B play a game 12 times, A wins 6 times, B wins 4 times and they draw twice. A and B take part in a series of 3 games. The probability that they will win alternately is A. 5 72 B. 5 36 C. 19 27 D. none of these Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Correct Answer - B Let E be the event that A wins the game and F be the event that B wins the game. Then, P(E)= 6 12 = 1 2 and P(F)= 4 12 = 1 3 ∴ Required probability =P{(E∩F∩E)∪(F∩E∩F)} =P(E∩F∩E)+P(F∩E∩F) =P(E)P(F)P(E)+P(F)P(E)P(F) = 1 2 × 1 3 × 1 2 + 1 3 × 1 2 + 1 3 × 1 2 × 1 3 = 5 36

Related questions

0 votes
Q: A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them wins a prize.The probability that they
    A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of ... 2/25 D. none of these Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A and B throw a pair of dice alternately. A wins the game if he gets a total of 6 and B wins if she gets a total of 7.
    A and B throw a pair of dice alternately. A wins the game if he gets a total of 6 and B wins if she gets ... throw of the pair of dice. Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: In a given race, the odds in favour of horses A, B, C,D are `1 : 3, 1:4, 1:5, 1:6` respectively. The probability that horse C wins the race is
    In a given race, the odds in favour of horses A, B, C,D are 1 : 3 , 1 : 4 , 1 : 5 , 1 : ... probability that horse C wins the race is Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A game consists of tossing a one-rupee coin three times and noting its outcome each time. Hanif wins if all the tosses give the same result, i.e., thr
    A game consists of tossing a one-rupee coin three times and noting its outcome each time. Hanif wins if all the ... will lose the game. Select the correct answer from above options...
asked Nov 17, 2021 in Education by JackTerrance
0 votes
Q: A random variable X has the following probability distribution : `{:(X:,1,2,3,4,5,6,7,8),(P(X):,0.15,0.23,0.12,0.10,0.20,0.08,0.07,0.08):}` for the ev
    A random variable X has the following probability distribution : X: 1 2 3 4 5 6 7 8 P(X): 0.15 0.23 0.12 0.10 0.20 0.08 0.07 0.08 for the events E=[X is a prime number] F={X...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: Football teams `T_(1)` and `T_(2)` have to play two games against each other. It is assumed that the outcomes of the two games are independent. The pr
    Football teams T 1 T and T 2 T have to play two games against each other. It is assumed that the outcomes of the two ... 2 1 D. 7 12 7 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A game of chance consists of spinning an arrow, which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8 and these are equally likely outcom
    A game of chance consists of spinning an arrow, which comes to rest pointing at one of the numbers 1,2,3,4,5,6 ... at any factor of 8. Select the correct answer from above options...
asked Nov 17, 2021 in Education by JackTerrance
0 votes
Q: A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at
    A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability ... 36 D. 1 36 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: If A and B are two events such that P(A) = 1/2, P(B) = 1/3 , P(A/B) = 1/4 , then P(A' ∩ B' ) equals A. 1/12 B. 3/4 C. 1/4 D. 3/16
    If A and B are two events such that P(A) = 1/2, P(B) = 1/3 , P(A/B) = 1/4 , then P(A' ∩ B' ) equals A. 1/12 B. 3/4 C. 1/4 D. 3/16 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: A child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red.
    A child's game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue ... iv) triangle of red colour Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: A five digit number if formed by the digits 1,2,3,4,5,6 and 8. The probability that the number has even digit at both ends is
    A five digit number if formed by the digits 1,2,3,4,5,6 and 8. The probability that the number has even digit ... 2 7 D. none of these Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: It is given that the events A and B are such that `P(A)=1/4, P(A/B)=1/2"and"p(B/A)=2/3dot` Then P(B) is: (1) `1/6` (2) `1/3` (3) `2/3` (4) `1/2`
    It is given that the events A and B are such that P(A)= 1 4 ,P( A B )= 1 2 andp( B A )= 2 3 . Then P(B) is: ... 3 B. 1 2 C. 1 6 D. 1 3 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Let X denote the number of times heads occur in `n` tosses of a fair coin. If `P(X=4), P(X=5) a n d P(X=6)` are in AP; the value of `n` is `7, 14` b.
    Let X denote the number of times heads occur in n tosses of a fair coin. If P(X=4),P(X=5)andP(X=6) are in AP; ... ,14 C. 12,7 D. 14,12 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: In a game the entry fee is ₹5. The game consists of tossing coins 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3
    In a game the entry fee is ₹5. The game consists of tossing coins 3 times. If one or two heads show, Sweta ... just gets her entry fee. Select the correct answer from above options...
asked Nov 17, 2021 in Education by JackTerrance
0 votes
Q: If P(A) = 3|10, P(B) = 2|5 and P(A ∪ B) = 3|5, then P(B|A) + P(A|B) equals A. 1/4 B. 1/3 C. 5/12 C. 7/2
    If P(A) = 3|10, P(B) = 2|5 and P(A ∪ B) = 3|5, then P(B|A) + P(A|B) equals A. 1/4 B. 1/3 C. 5/12 C. 7/2 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...