100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 71

71 of 100: A Pair of Pairs?

Probability Level 1

Amy and Blake are each dealt two cards from a standard, 52-card deck. Amy's cards are known, Blake's cards are unknown. In which of these two scenarios is it more likely that Blake has a pair?

In poker, a pair involves two cards of the same face value (2, 3, 4, ..., Q, K, A), not the same suit. The scenarios are separate and don't involve the same deck. You don't have to calculate the numerical value of either of the two probabilities in order to compare them.


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