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A deck of 52 cards is mixed well, and = cards are dealt.
a. It can be shown that (disregarding the order in which the cards are dealt) there are 2,598,960 possible hands, of which only 1,287 are hands consisting entirely of spades. What is the probability that a hand will consist entirely of spades? What is the probability that a hand will consist entirely of a single suit?
b. It can be shown that exactly 63,206 of the possible hands contain only spades and clubs, with both suits represented. What is the probability that a hand consists entirely of spades and clubs with both suits represented? |
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