Q. 24

Mark the correct alternative in each of the following:

Two persons A and B take turns in throwing a pair of dice. The first person to throw 9 from both dice will be awarded the prize. If A throws first, then the probability that B wins the game is

A. 9/17

B. 8/17

C. 8/9

D. 1/9

Answer :

Let’s find out the probability of getting ‘9’ from throw of a pair of dice first:


9 can be obtained in the given 4 cases


[(3,6), (4,5), (5,4), (6,3)]


Getting 9


Not getting 9


B will win when A won’t get 9 in his/her throw and B will get 9 in his/her throw, i.e. B wins after 1 round of throws, P


Now then,


P(B wins) = P(Getting 9 in 2nd throw) + P(Getting 9 in 4th throw) + P(Getting 9 in 6th throw) + . . . . . . .



GP (Geometric Progression)




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