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Let A1, . . . , An be a partition of the sample space Ω. Let...

Let A1, . . . , An be a partition of the sample space Ω. Let X be a random variable. What is the formula for E(X) in terms of the conditional expected values E(X|A1), . . . , E(X|An)?

(b) Two coins are tossed. Then cards are drawn from a standard deck, with replacement, until the number of “face” cards drawn (a “face” card is a jack, queen, or king) equals the number of heads tossed. Let X = the number of cards drawn. Find E(X)

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