if 5 cards are drawn from a standard deck, what is the probability that the result is 3 red cards and 2 black cards

three red cards can be chosen in 26C3 ways .

two black cards can be chosen in 26C2 ways

five cards can be chosen in 52C5 ways

Hence required probability is

26C3 * 26C2/(52C5)=2600* 325 /2598960= 0.32513

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