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What is the probability that a five-card poker hand contains the two of diamonds and the three of spades?

(Note: Enter the value in decimal format and report it to four decimal places.)

Respuesta :

The total probability is 52 choose 5, which is 2598960
Then we multiply the combinations of two diamonds and 3 spades, which is 13 choose 2 times 13 choose 3. That is 22308.
Then we divide to get the decimal. 22308/2598960 is 0.00858343337

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