A card is drawn from 52 cards. What is the probability that the second card is a face card? I hope the question is clear.
I believe the answer to be as follows...
Two cases -
Case 1: First card drawn is a face card. Case 2: First card drawn is not a face card.
Then the total probability is $\;\frac{12\cdot 11}{52\cdot 51} + \frac{40\cdot 12}{52\cdot 51}$.