SOLUTION: If you are dealt 5 cards from a standard 52 card deck, what is the probability that you get a full house, 3 of a kind and 2 of a kind (Example QQQ88)?

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Question 548984: If you are dealt 5 cards from a standard 52 card deck, what is the probability that you get a full house, 3 of a kind and 2 of a kind (Example QQQ88)?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If you are dealt 5 cards from a standard 52 card deck, what is the probability that you get a full house, 3 of a kind and 2 of a kind (Example QQQ88)?
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Pick a card type: 13 ways
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Pick 3 of that card type: 4C3 = 4
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Pick a different card type: 12 ways
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Pick 2 of that card type: 4C2 = 6 ways
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# of ways to succeed: 13*4*12*6 = 3744
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# of random 5 cards sets: 52C5 = 2598960
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P(full house) = 3744/2598960 = 0.0014
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Cheers,
Stan H.
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