4.145 Bachelor's degrees by gender.

Of the 2,325,000 bachelor's, master's, and doctoral degrees given by U.S. colleges and universities in a recent year, 69% were bachelor's degrees, 28% were master's degrees, and the rest were doctorates. Moreover, women earned 57% of the bachelor's degrees, 60% of the master's degrees, and 52% of the doctorates.³¹ You choose a degree at random and find that it was awarded to a woman. What is the probability that it is a bachelor's degree?