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Question: Two persons A and B take turns in throwing a pair of dice. The first person to through 9 from both d...

Two persons A and B take turns in throwing a pair of dice. The first person to through 9 from both dice will be avoided the price. 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

8/17

Explanation

Solution

The probability of throwing 9 with two dice = 4/36

= 1/9.

\ The probability of not throwing 9 with two dice = 8/9. If A is to win he should throw 9 in 1st or 3rd or 5th attempt.

If B is to win, he should throw, 9 in 2nd, 4th attempt.

B’s chances =