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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![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](/uploads/image/z/8848206-54-6.jpg?t=If+you+are+dealt+5+cards+from+a+standard+52-card+deck%2Cwhat+is+the+probability+that+you+willget+at+least+one+card+of+each+suit%3F%E5%A4%A7%E6%A6%82%E6%84%8F%E6%80%9D%E5%B0%B1%E6%98%AF52%E5%BC%A0%E6%89%91%E5%85%8B%E7%89%8C%E9%87%8C%E9%9D%A2%E9%9A%8F%E6%9C%BA%E6%8A%BD%E5%8F%965%E5%BC%A0%EF%BC%88%E6%B2%A1%E6%9C%89%E5%A4%A7%E5%B0%8F%E7%8E%8B%EF%BC%89%E9%97%AE%E6%AF%8F%E4%B8%AA%E8%8A%B1%E8%89%B2%E7%9A%84%E6%8E%92%E9%83%BD%E8%87%B3%E5%B0%91%E6%9C%89%E4%B8%80%E5%BC%A0%E7%9A%84%E6%A6%82%E7%8E%87)
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
收起
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