Choose a young adult (age 25 to 34 years) at random. The probability is 0.10 tha

Question

Choose a young adult (age 25 to 34 years) at random. The probability is 0.10 that the person chosen did not complete high school, 0.33 that the person has a high school diploma but no further education, and 0.27 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? (b) What is the probability that a randomly chosen young adult has at least a high school education?

Explanation / Answer

Choose a young adult (age 25 to 34 years) at random
the person chosen did not complete high school that probability is 0.10
the person has a high school diploma but no further education then that probability is 0.33
the person has at least a bachelor's degree then that probability is 0.27
a.
the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor's degree is 0.33/0.70 =0.4714

b.
the probability that a randomly chosen young adult has at least a high school education is 0.27/0.70 = 0.3857

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