Probability of drawing 5 cards

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I'm not going to actually multiply them out because that would take effort, and more stuff will cancel anyway. These numbers get big, but they cancel out the answer is (52♵1♵0♴9♴8)/(5♴♳♲♱) = 13♱7♵♴9♴8 when you cancel stuff out (I canceled a 4 from the 52, a 3 from the 51, and a 5 and a 2 from the 50). This is a little tough, but not actually that hard.įirst, you should know how many 5-card hands there are.

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