One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls.

One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls. One ball is drawn at random from the second bag and is placed unseen in the first bag. What is the probability that a ball now drawn from the first bag is black?