Calculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places. Two pairs: Two cards with one denomination, two with another, and one with a third.

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Mathematics

Trevon Byrd

29 December, 14:27

Calculate the probability of being dealt the following poker hand. (Recall that a poker player is dealt 5 cards at random from a standard deck of 52.) Express your answer as a decimal rounded to four decimal places. Two pairs: Two cards with one denomination, two with another, and one with a third.

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Trevon Mora · Answer 1

Answer: (13 ranks, choose 2) * (4 from each rank, choose 2) * (remaining 44 cards, choose 1) / (52 total, choose any 5) = 13c2 * (4c2) ^2 * 44 / 52c5 = 0.0475