Suppose 80% of students finish high school. Of them, 50% finish college. Of them, 20% get a masters’ degree. Of them, 30% get a Ph.D.
a. What percentage of students get a Ph.D.?
b. Explain how your reasoning in part a used multiplications rule with conditional probabilities.
c. Given that a student finishes college, find the probability of getting a Ph.D.