Probability

2012-09-01 8:30 pm
3 Cards are drawn randomly from 52 playing cards.

Given that all 3 cards are of same suit (同花)

Find the probability that all of them are face cards.

回答 (1)

2012-09-01 9:02 pm
✔ 最佳答案
P(all of them are face cards)

= P(3 face cards are of same suit) / P(3 cards are of same suit)

P(K♠ Q♠ J♠ or K♥Q♥J♥ or K♣ Q♣ J♣ or K♦ Q♦ J♦ )
= ───────────────────────────────
P(3 ♠ cards out of 13 or 3 ♥ cards out of 13
or 3 ♣ cards out of 13 or 3 ♦ cards out of 13 )
4 / 52C3
= ────────────
4 *13C3 / 52C3

= 1 / 13C3

= 1 / 286


收錄日期: 2021-04-21 22:26:35
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