標題:
統計學問題有關概率
發問:
If two cards are drawn from a well-shuffled deck of 52 playing cards, what are the probabilities of getting: (a) two spades (b) two kings (c) a king and an ace
最佳解答:
(a) P(2 spades) =P(second card is spade AND first card is spade) =P(second card is spade | first card is spade) * P(first card is spade) = 12/51 * 13/52 = 1/17 (b) P(2 kings) = P(second card is king AND first card is king) =P(second card is king | first card is king) * P(first card is king) = 3/51 * 4/52 = 1/221 (c) P(a king and an ace) = P(second card is king AND first card is ace) + P(second card is ace AND first card is king) = P(second card is king | first card is ace) * P(first card is ace) + P(second card is ace | first card is king) * P(first card is king) = 4/51 * 4/52 + 4/51 * 4/52 = 8/663
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