SOLUTION: 3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair? (A 3-card hand is a pair if two of the cards match in rand but the third c
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Question 393533: 3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair? (A 3-card hand is a pair if two of the cards match in rand but the third card is different.) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair? (A 3-card hand is a pair if two of the cards match in rand but the third card is different.)
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Pick a type of card: 13 ways
Pick a pair of that type: 4C2 = 6 ways
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Pick a 3rd card that is not that type: 48 ways
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P(event as described) = [13*6*48]/52C3 = 3744/22100 = 0.1694
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Cheers,
Stan H.
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