Mathematics degrees and gender. Of the 21,189 degrees in mathematics given by U.S. colleges and universities in a recent year, 71% were bachelor's degrees, 23% were master's degrees, and the rest were doctorates.
Moreover, women earned 44% of the bachelor's degrees, 41% of the master's degrees, and 30% of the doctorates. You choose a mathematics degree at random and find that it was awarded to a woman. What is the probability that it is a bachelor's degree?