Finite math help please do

Question

A list of poker hands, ranked in order from the highest to the lowest, is shown in the accompanying table along with a description and example of each hand. Use the table to help you answer the question.

If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, what is the probability of being dealt the given hand? (Round your answer to five decimal places.)

Two pairs

Answer 1

TWO PAIR

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There are (13 choose 2) denominations for each pair.

There are (4 choose 2)^2 suits for each pair.

There is (4 choose 1) suits for the stray kicker over

(11 choose 1) denominations.

The product is 78 * 6^2 * 4 * 11 = 123552

123552/2598960 = 0.047539+