Suppose that two teams are playing a series of games, each of which is independently won by team $A$ with probability $p$ and by team $B$ with probability $1-p .$ The winner of the series is the first team to win four games. Find the expected number of games that are played, and evaluate this quantity when $p=$ $1 / 2$
Added by Patrick V.
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- We have two teams, A and B, playing a series of games. - Each game is independently won by team A with probability \( p \) and by team B with probability \( 1-p \). - The series ends when one team wins 4 games. - We need to find the expected number of games Show more…
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