probability 高手~~~急!!!!

In the game of poker a "hand of cards" means 5 cards ramdonly selected(without replacement) from a desk of 52 cards. What is the probability that a hand of cards consists of cards of consecutive value, but contains no jacks, queens, kings and aces?

2 個解答

• 1 0 年前
最佳解答

Q: In the game of poker a "hand of cards" means 5 cards ramdonly

selected ( without replacement ) from a desk of 52 cards. What is

the probability that a hand of cards consists of cards of consecutive

value, but contains no jacks, queens, kings and aces?

Sol:

Pstraight(2 to 6 ~ 6 to 10)

＝ C41 * C41 * C41 * C41 * C41 * 5 / C525

＝ ( 45 * 5 ) / ( 52 * 51 * 50 * 49 * 48 / 5! )

＝ ( 45 * 5 * 5! ) / ( 52 * 51 * 50 * 49 * 48 )

＝ 614400 / 311875200

＝ 64 / 32487

Ans: 64 / 32487

P.S In this hand, the straight flush is included.

參考資料： 數學小頭腦
• 匿名使用者
6 年前

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