The probability of getting exactly 2 sets of 3 (of the same kind) in a 7-card hand from a regular deck of cards is:________

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Math High School Farah 1 month 2022-12-26T23:21:12+00:00 2022-12-26T23:21:12+00:00 1 Answer 0 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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Dau · Answer 1 · 2022-12-26T23:22:25+00:00

The probability of getting exactly 2 sets of 3 (of the same kind) in a 7-card hand from a regular deck of cards is: 0.000410

We have to use this formula

No. of ways to get 2 ranks that appears 3 times x ways of getting 1 card from 44 cards / ways to select 7 from 52 cards

Hence we would have

13C2 * 4C3 * 4C3 *44C1 / 52C7

= 78 *4 * 4 * 44 /133784560

= 0.000410

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