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Each game you play is a win with probability p. You plan to play 5 games, but if you win the fifth game, then you

Each game you play is a win with probability p. You plan to play 5 games, but if you win the fifth game, then you will keep on playing until you lose.

(a) Find the expected number of games that you play.

(b) Find the expected number of games that you lose.

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