SOLUTION: Find the probability of getting A full house in poker consists of three of a kind, in a five card hand, if 5 cards are dealt at random from a standard deck of 52.

Question 64704This question is from textbook A Survey of Mathematics
: Find the probability of getting A full house in poker consists of three of a kind, in a five card hand, if 5 cards are dealt at random from a standard deck of 52. This question is from textbook A Survey of Mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the probability of getting A full house in poker consists of three of a kind, in a five card hand, if 5 cards are dealt at random from a standard deck of 52.
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Comment: I think a full house is 3 of one type of card and 2 of another type.
Pick a type of card: 13 ways
Pick 3 of that type of card: 4C3=4 ways
Pick a different type of card: 12 ways
Pick 2 of that type: 4C2=6
# of "full-house hands" = 13*4*12*6=3744
# of 5 card hands: 52C5=2598960
Prob(full house)= 3744/2598960=0.00144057...
Cheers,
Stan H.
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