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

Algebra ->  Algebra  -> Permutations -> 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      Log On

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Permutations 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(57347)   (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.) --- Pick a type of card: 13 ways Pick a pair of that type: 4C2 = 6 ways ---- Pick a 3rd card that is not that type: 48 ways ---- P(event as described) = [13*6*48]/52C3 = 3744/22100 = 0.1694 ================= Cheers, Stan H.