If you are dealt 5 cards from a standard 52-card deck,what is the probability that you willget at least one card of each suit?大概意思就是52张扑克牌里面随机抽取5张(没有大小王)问每个花色的排都至少有一张的概率

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Ifyouaredealt5cardsfromastandard52-carddeck,whatistheprobabilitythatyouwillgetatleastonecardofeachsu

If you are dealt 5 cards from a standard 52-card deck,what is the probability that you willget at least one card of each suit?大概意思就是52张扑克牌里面随机抽取5张(没有大小王)问每个花色的排都至少有一张的概率
If you are dealt 5 cards from a standard 52-card deck,what is the probability that you will
get at least one card of each suit?
大概意思就是52张扑克牌里面随机抽取5张(没有大小王)问每个花色的排都至少有一张的概率是多少,

If you are dealt 5 cards from a standard 52-card deck,what is the probability that you willget at least one card of each suit?大概意思就是52张扑克牌里面随机抽取5张(没有大小王)问每个花色的排都至少有一张的概率
全部有C(5,52),
符合条件的有4×C(1,13)×C(1,13)×C(1,13)×C(2,13)
∴P=4×C(1,13)×C(1,13)×C(1,13)×C(2,13)/C(5,52)

全部有C(5,52),
符合条件的有4×C(1,13)×C(1,13)×C(1,13)×C(2,13)
∴P=4×C(1,13)×C(1,13)×C(1,13)×C(2,13)/C(5,52)

如上所示

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咱先考虑抽出来的一张花色的牌都没有的情况:从剩下的39张任意抽出五张为=5!/(39*38*37*36*35)再用1减等于575757分之575756

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