To find the probability of drawing one ace, one queen, and one jack from a pack of 52 cards, we can break down the problem into three parts: finding the probability of drawing an ace, then a queen, and finally a jack.

Finding the Probability of Drawing an Ace:
There are 4 aces in a deck of 52 cards, so the probability of drawing an ace on the first draw is 4/52. After drawing an ace, there are now 51 cards left in the deck, with 3 aces remaining. Therefore, the probability of drawing an ace on the second draw, given that the first draw was an ace, is 3/51. Similarly, after the first two draws, there are 50 cards left in the deck, with 2 aces remaining. So, the probability of drawing an ace on the third draw, given that the first two draws were aces, is 2/50.

Finding the Probability of Drawing a Queen:
There are 4 queens in a deck of 52 cards, so the probability of drawing a queen on the first draw is 4/52. After drawing a queen, there are now 51 cards left in the deck, with 3 queens remaining. Therefore, the probability of drawing a queen on the second draw, given that the first draw was a queen, is 3/51. Similarly, after the first two draws, there are 50 cards left in the deck, with 2 queens remaining. So, the probability of drawing a queen on the third draw, given that the first two draws were queens, is 2/50.

Finding the Probability of Drawing a Jack:
There are 4 jacks in a deck of 52 cards, so the probability of drawing a jack on the first draw is 4/52. After drawing a jack, there are now 51 cards left in the deck, with 3 jacks remaining. Therefore, the probability of drawing a jack on the second draw, given that the first draw was a jack, is 3/51. Similarly, after the first two draws, there are 50 cards left in the deck, with 2 jacks remaining. So, the probability of drawing a jack on the third draw, given that the first two draws were jacks, is 2/50.

Calculating the Overall Probability:
To find the overall probability of drawing one ace, one queen, and one jack, we multiply the probabilities of each event happening together. Therefore, the overall probability is:

(4/52) * (3/51) * (2/50)

Simplifying this expression gives us:

(1/13) * (1/17) * (1/25) = 1/5525

Therefore, the probability that one card drawn is an ace, one is a queen, and one is a jack is 1/5525.