Final answer:
The correct answer is a. 1/3. The probability of drawing a Queen from a standard deck given that the card is a face card is 1/3, since there are 4 Queens in the 12 face cards available.
Step-by-step explanation:
The probability that the card drawn from a standard 52-card deck is a Queen, given that this card is a face card, is calculated by considering the number of Queens among the face cards in the deck. In a standard deck, there are 12 face cards in total (3 face cards per suit), which include the Jack, Queen, and King of each suit. Since there are 4 Queens in the deck (one in each suit), the probability we are looking for is the number of favorable outcomes (Queens) divided by the total number of possible outcomes (face cards).
There are 12 face cards in a standard deck, which consist of 4 Queens. Therefore, the probability of drawing a Queen when the card is a face card is 4/12, which simplifies to 1/3.
Probability = Number of Queens / Total Face Cards = 4 / 12 = 1/3
Therefore, the correct answer is a. 1/3.