SOLUTION: what is the theoretical probability of being delt exactly three 4s in a 5-card hand from a standard 52-card deck

Question 453490: what is the theoretical probability of being delt exactly three 4s in a 5-card hand from a standard 52-card deck
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the theoretical probability of being delt exactly three 4s in a 5-card hand from a standard 52-card deck.
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# of ways to get 3 4's: 4C3 = 4
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# of ways to get 2 non-3 cards: 48C3 = 17296
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# of ways to get 3 4's and 2 other = 4*17296
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# of ways to get 5 cards randomly: 52C5
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P(3 4's and 2 other) = (4*17296)/52C5 = 0.0266
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Cheers,
Stan H.
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