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Jan 31 Homework Solutions Math 151, Winter 2012 Chapter 3 ...

In other words, if A and B are tied after two games, the probability that there will be exactly 4 games played is p2 + (1 p)2. So P(exactly 4 games played) = P(exactly 4 games playedjtied after two games)P(tied after two games) = p2 + (1 p)2 2p(1 p) = 44p + 8p3 6p2 + 2p: (b) Find the probability that A is the winner of the series.

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