# Question

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.

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.

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