Question 118127
A poker hand consistes of 5 cards dealt from an ordinary deck of 52 playing cards.
a). How many poker hands are possible?
52C5 = 2,598,960
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b). How many different hands consisting of three kings and two queens are possible?
[4C3*4C2] = 4*6 = 24
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c). The hand in part (b) is an example of a full house: 3 cards of one denomination and 2 of another. How many different full houses are possible?
Pick a card type: 13 ways
Pick 3 of the 4 cards: 4C3=4
Pick a 2nd card type: 12 ways
Pick 2 of the 4 cards: 4C2= 6
Total = 13*12*4*6 = 3744 full houses possible.
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d). Calculate the probability of being dealt a full house.
3744/2,598,960
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Cheers,
Stan H.