# SOLUTION: What is the probility of getting a Full House in a five-card hand?

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 Click here to see ALL problems on Probability-and-statistics Question 134551: What is the probility of getting a Full House in a five-card hand?Answer by stanbon(57940)   (Show Source): You can put this solution on YOUR website!Pick a card type: 13 Pick 3 of that card type: 4C3 = 4 Pick another card type: 12 Pick 2 of that card type: 4C2 = 6 Total number of ways = 13*12*24 = 3744 ---------------------------------------- total number of 5-card hands: 52C5 --------------------------------------- P(getting Full House hand) = 3744/52C5 = 0.00144 ---------------------------------------- Cheers, Stan H.