Choose a young adult (aged 25 to 29) at random. The probability is 0.13 that the person chosen did not complete high school, 0.29 that the person has a high school diploma but no further education, and 0.30 that the person has at least a bachelor’s degree.

a. What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree? Why?

b. Find the probability that the young adult completed high school. Which probability rule did you use to find the answer?

c. Find the probability that the young adult has further education beyond high school. Which probability rule did you use to find the answer?