**A and B throw a pair of dice alternately. A wins the game if he gets a total of 6 and B wins if … the game by A in third throw of the…**

###### Answers:

A and B throw a pair of dice .

A wins if he gets a total of 6

∴ A{(2,4),(1,5),(5,1),(4,2),(3,3)}

B wins if she gets a total of 7

∴ B = {(2,5),(1,6),(6,1),(5,2),(3,4),(4,3)}

∴ P(A) = 5/36 and P(B) = 1/6

It is given that A is starting the game and we have to find the probability that A wins in third throw

∴ Required probability = A(A’).P(B’).P(A) = 31/36.5/6.5/36 = 775/7776