From an urn containing 5 white and 3 black balls, 2 balls are removed one at a time without returning.

From an urn containing 5 white and 3 black balls, 2 balls are removed one at a time without returning. Find the probability that the ball drawn second will turn out to be white if it is known that the first ball pulled out turned out to be black

If the first drawn ball was white, then 7 balls remain in the urn, of which 5 are white and 2 are black. Therefore, the probability that the second ball drawn will be white if the black ball was pulled first is 5/7.