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If 5 cards are drawn from a deck, find the probability that 2 will be hearts.?

Science & Mathematics by Anonymous 2018-05-18 11:06:17

Social Science

If 5 cards are drawn from a deck, find the probability that 2 will be hearts.?

1 answer

  • Anonymous

    5 cards may be drawn from a deck of 52 cards in 52C5 = 2,598,960 ways 2 hearts may be drawn from 13 hearts in 13C2 = 78 ways 3 non-hearts may be drawn from 39 non-hearts in 39C3 = 9,139 ways P(2 hearts) = (13C2)*(39C3) /52C5 = (78)(9139)/ 2598960 = 0.2743

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