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Suppose we pick cards from a deck randomly, with replacement and reshuffling, until an ace comes...

Suppose we pick cards from a deck randomly, with replacement and reshuffling, until an ace comes up. Let X represent the number of cards we picked. Calculate: (a) E[X] (b) Var[X] (c) I offer you $13^n if the number of cards picked is equal to n. What is the expected value of how much I will pay you?

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