SOLUTION: hi i need help with this problem. i need help on this question: five cards are drawn from an ordinary deck of 52 playing cards. what is the probability that the hand drawn is a f

Question 28645: hi
i need help with this problem. i need help on this question: five cards are drawn from an ordinary deck of 52 playing cards. what is the probability that the hand drawn is a full house? (a full house means three of one kind, three of another like three queens and two nines, etc.) please help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
to get a full house:
1st pick a card (A)----13 ways
2nd pick 3 of the 4 A cards---4C3=4 ways
3rd pick a second card (B)----12 ways
4th pick 2 of the 4 B cards---4C2=6 ways
Multiply to get 13*4*12*6=3744 possible full-house hands
Divide by the number of possible 5 card hands---52C5=2598960
Answer: 3744/2598960=0.00144...
Cheers,
Stan H.
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