Two cards are drawn without replacement from a standard deck of 52

playing cards. What is the probability of choosing a queen for the second card drawn, if the first card, drawn without replacement, was a jack? Express your answer as a fraction or a decimal number rounded to four decimal places.

There are 4 queens and 4 jacks in the deck of 52 cards.

After drawing a jack, there are now only 51 cards left in the deck, with 4 queens remaining.

Therefore, the probability of choosing a queen for the second card drawn, given that the first card was a jack, is 4/51 which is approximately 0.0784 when rounded to four decimal places.