It is given that the probability of selecting a black marble and then a white marble is 0.39 and that the probability of selecting a black marble on the first draw is 0.52.
It is required to find the probability of selecting a white marble on the second draw, given that the first marble drawn was black.
Let the event "drawing a black marble" be A and let the event "drawing a white marble" be B.
Since it is given that the probability of selecting a black marble and then a white marble is 0.39, it follows that:

Since the probability of selecting a black marble on the first draw is 0.52, it follows that:

Recall the Conditional Probability Formula for the probability of B occurring given A has occurred:

Substitute P(A and B)=0.39 and P(A)=0.52 into the formula:
The answer is 75%.