a-hand-of-five-cards-is-dealt-from-a-standard-52-card-deck-what-is-the-probabili

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A hand of $5$ cards is dealt from a standard $52$ -card deck. What is the probability that your hand contains exactly $1$ pair, with the other $3$ cards all of different ranks and different from the pair?

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A hand of 55 cards is dealt from a standard 5252-card deck. What is the probability that your hand contains exactly 11 pair, with the other 33 cards all of different ranks and different from the pair?

A hand of $5$ cards is dealt from a standard $52$ -card deck. What is the probability that your hand contains exactly $1$ pair, with the other $3$ cards all of different ranks and different from the pair?