What is the probability of drawing a full house from a standard card deck of 52 playing cards?
What is the probability of drawing a full house from a standard 52 card deck of playing cards?
If you're asking for the probability of drawing a full house in five cards, let's count the number of ways to get a full house and divide by the number of hands: three of a kind and two of a kind: 13 * (4 choose 3) * 12 * (4 choose 2) = 3744 This gives you three of the four cards of one value, and Two of the four cards of different a value. The total number of hands is simply choose 52 5th So that means the probability is: p = 3744 / (52 choose 5) = 3.744 / 2,598,960 = 6 / 4165
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