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If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting two queens and one king

User Marwelln
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2 Answers

3 votes
like 1% it’s not a good percentage
User Dualed
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There are 4 choose 3 ways to hold 3 kings and 4 possible queens to make up the fourth card of the hand out of a total of 54 choose 4 possible four-card hands, which gives us the following expression for the probability of being dealt 3 kings and a queen out of 4 cards: Or roughly 1 in every 16920 four card hands.
User Nikunj Patel
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