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.)

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