Question

Two cards are drawn without replacement from a standard deck of 52 playing cards . what is the probability of choosing a face card for the second card drawn, if the first card drawn without replacement, was a queen? Express your answer as a fraction or a decimal rounded to four decimal places

Answer 1

We need to find the probability that the second card drawn is a face card.

We know that the first card drawn was a queen, i.e., a face card.

Since there are a total of 12 face cards in a standard deck of 52 playing cards, after the first card was drawn, there were left 11 face cards and a total of 51 cards.

Thus, the probability that the second card drawn is a face card is:

$\frac{11}{51}$

Answer: 11/51