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:________

Question

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

Answer ( 1 )

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    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

    How to solve for the probability

    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
    Read more on probability here: https://brainly.com/question/24756209
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