Question

What is the probability that you draw 3 cards and you selected 3 aces from a deck of 52 cards?

Answer 1

`1/11050~=9 xx 10^(-5)`

Explanation:

There are 4 aces in a standard deck of 52 cards.

If we draw a single card, the chance we get an ace is:

`4/52`

Now let's draw a second card. We've already pulled one ace, so there are 3 left, and there are now 51 cards left, so the chance of pulling 2 aces on 2 draws is:

`4/52 xx 3/51`

And following this same logic with the third draw to get a third ace, we have:

`4/52 xx 3/51 xx 2/50=12/132600=1/11050~=9 xx 10^(-5)`