Question 2: Of all the bachelor's, masters, and doctoral degrees given in the US colleges and universities in 2020, 69% were bachelors, 28% were master degrees, and the rest were doctorates. Moreover, women earned 57% of the bachelors degrees, 60% of the master degrees, and 52% of the doctorates. A researcher choose a 2020 degree at random and finds that it was awarded to a woman. What is the probability that it is a bachelor's degree? Please show your work.