Calculate probability of first jack

There are 4 jacks in a deck of 52 cards, so the probability of picking the first jack is $4/52$.

$P_1 = \frac{4}{52} = \frac{1}{13}$

Calculate probability of second jack

After one jack is drawn, there are 3 jacks remaining in a pool of 51 cards.

$P_2 = \frac{3}{51} = \frac{1}{17}$

Calculate probability of third jack

After two jacks are drawn, there are 2 jacks remaining in a pool of 50 cards.

$P_3 = \frac{2}{50} = \frac{1}{25}$

Calculate total probability

Since these are dependent events occurring in sequence, multiply the probabilities.

$P = \frac{1}{13} \times \frac{1}{17} \times \frac{1}{25} = \frac{1}{5525}$