# A poker hand consists of five cards drawn from a deck of 52 cards.  Each card has one of 13 denominations (2,3,4,...10,Jack,Queen,King,Ace) and one of four suits (spades,hearts,diamonds,clubs).Determine the probability of drawing "two pairs" (two cards of one denomination, two cards of a different denomination, and one card of a denomination other than those two denominations)

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A poker hand consists of five cards drawn from a deck of 52 cards.  Each card has one of 13 denominations (2,3,4,...10,Jack,Queen,King,Ace) and one of four suits (spades,hearts,diamonds,clubs).

Determine the probability of drawing "two pairs" (two cards of one denomination, two cards of a different denomination, and one card of a denomination other than those two denominations)

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Step 1

In this question it has given that we have to draw 5 cards out of which 2 must be the pairs of different denominations and 1 is out of remaining.

Step 2
• There are total 52 cards in a deck of card.
• We know that there are total 13 denominations of different kind and we have to select two pair of different denominations.

• As we know that each denomination has four cards of same denomination So if we want to select a pair from that denomination then we have to select 2 cards out of four cards of that denomin...

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### Probability 