If you are dealt two cards successively from a standard 52 card deck

Question

, with replacement, what is the probability of drawing a face card second given a face card was drawn first?

Answer 1

Hi Brian,

 

The probability of drawing a face card on the first draw is 12/52 or 3/13. Since the card is being replaced before the next card is drawn, the probability of drawing a face card is again 3/13. Since we want the probability of drawing a face card AND a face card, we use the product rule to get 9/169.