Two persons A and B are rolling a die on the condition that the person who gets 3 will win the game. If A starts the game, then find the probabilities of A and B respectively to win the game.

Hello student,

P=Probability of getting 3=1/6

q=1-p=5/6
Probability success (p) = 1/6
Probability of failure (q) = 5/6
A may win the game either in I trail or in III trial or in V trial etc.
Probability of A win
= p + q. q. p + q. q. q. q. p + …
=p/(1-q²)=6/11.
∴ Probability of B’s win = 1 – p(A) =5/11
Thanks and Regards

Shaik Aasif

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