Chapter 8.4, Problem 48E

In Problems $45\text{-}50$, a player is dealt two cards from a $52\text{-}$ deck. If the first card is black, the player returns it to the deck before drawing the second card. If the first card is red, the player sets it aside and then draws the second card.

If the second card drawn is black, what is the probability that the first card drawn was red?