Mathematical Statistics-992 Homework #1 Due 3/3/2011 這次作業不須教科書，只要有玩心。 1. Poker is a game which is played by dealing five cards to each of several players. Each such set of five cards is called a :poker hand”.( 在課堂上我們做了 one hand 的機率，也略提了 two hands 的機率 ) (1) Suppose that we deal one hand of five cards. (a) Find the total number of possible pairs of hands. (b) Find the probabilities of the events that ① the cards all come from the same suit(a flush 同花 ), ② the cards form a straight ( 順子 , 如 : 2, 3, 4, 5, 6) (2) Now suppose that we deal two hands of five cards each from the same deck. To find the probability that both players get a full house with different pairs,
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