eter is playing a game with two friends. The game is designed to be a game of        chance so that the probability of Peter winning each game is 1/3. Peter and his   friends play the game 15 times. Find the probability that Peter wins         (a)    (i)    exactly 2 games,                 (ii)   more than 2 games.         (b)   Find the expected value and standard deviation of winnings of Peter.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Peter is playing a game with two friends. The game is designed to be a game of        chance so that the probability of Peter winning each game is 1/3. Peter and his   friends play the game 15 times. Find the probability that Peter wins

        (a)    (i)    exactly 2 games,

                (ii)   more than 2 games.

        (b)   Find the expected value and standard deviation of winnings of Peter.

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