Yahoo Answers: Answers and Comments for Find the probability of drawing a full house from a set of 52 cards? [Mathematics]
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From mav3rick
enUS
Tue, 23 Aug 2011 18:07:29 +0000
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Yahoo Answers: Answers and Comments for Find the probability of drawing a full house from a set of 52 cards? [Mathematics]
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From QC: Total number of hands: (52 C 5) = 2,598,960
...
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Tue, 23 Aug 2011 18:23:50 +0000
Total number of hands: (52 C 5) = 2,598,960
Full house: 3 of a kind + 2 of a kind
3 of a kind could be one of 13 different values
For each of these, there are (4 C 3) ways to choose 3 cards
2 of a kind could be one of 12 remaining values
For each of these, there are (4 C 2) ways to choose 2 cards
Number of hands that are full houses
= 13 * (4 C 3) * 12 * (4 C 2) = 13*4 * 12*6 = 3744
Probability of drawing a full house = 3744/2,598,960 = 0.001440576 = 0.144%

From catinella: The are 4 aces in a properlyrecognized deck o...
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Tue, 29 Nov 2016 03:35:54 +0000
The are 4 aces in a properlyrecognized deck of fifty two taking part in cards. So on a single draw (if the deck is complete) you have a 4 in fifty two possibility of pulling an ace, which reduces to one million in 13. precis: one million in 13 (or 4 in fifty two) this is a 7.6923% possibility.

From Charles D: This is a product of combinatorics.
A full ...
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Tue, 23 Aug 2011 18:32:04 +0000
This is a product of combinatorics.
A full house is 3 of a kind and 2 of a kind e.g. 77733
How many ways can you pick the first card: 13C1 = 13
How many ways can you get 3 more of the same card: 4C3 = 4
How many ways can you pick the other kind: 12C1 = 12
How many ways can you get 2 more of the same card: 4C2 = 6
Multiply these out: 3744.
How many different hands can be dealt 52C5 = 2,598,960
The quotient of these two is 0.144 %

From Anonymous: ok thre is 52 cards and there are 4 of each nu...
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Tue, 23 Aug 2011 18:16:59 +0000
ok thre is 52 cards and there are 4 of each number so you would divide 52 by 4 and get 13 so that means there are 13 cards for each set not you would times 52 and 13 and get 676, so there are 676 different ways to get a full house. is that what your asking for?