If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a face card, given that the first card was a queen.
A. 3/13
B. 4/17
C. 11/51
D. 5/17
I tried doing $13/52 \cdot 12/51$, $4/52 \cdot 3/51$, and $26/52 \cdot 25/51$, but none of the solutions to these three calculations matched the choices provided.
Best Answer
C. 11/51 As there are originally 52 cards in total 12 of which are face. If a queen has been drawn then this reduces the total number of cards to 51 and the number of face cards to 11. The probability of pulling a face card now is 11/51.