Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace, the second card is a three, and the third card is a jack.

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

Therefore, the probability of drawing a three at the 2nd draw is

Then, at the third draw, the previous 2 cards are not replaced, so there are now

cards in the deck. So, the probability of drawing a jack is

Therefore, the total probability of drawing an ace, a three and then a jack is: