Hello, Allan!

I simplified the wording of the problem.

There are: . possible hands.There are 29 cards in the deck: 2 A's and 27 Others.

If we draw 5 cards at random from the deck, what is the probability of getting the 2 A's?

We draw 5 cards and want: two A's and three Others.

. . There is: . way to get two A's.

. . . There are: . ways to get three Others.

. . . . . . Hence, there are ways to get two A's.

Therefore: .