Choose a young adult (age 25 to 34 years) at random. The probability is 0.14 tha

Question

Choose a young adult (age 25 to 34 years) at random. The probability is 0.14 that the person chosen did not complete high school, 0.31 that the person has a high school diploma but no further education, and 0.25 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

a) probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor's degree =1-P(did not complete high school+high school but no further education+ person has at least a bachelor's degree) =1-(0.14+0.31+0.25)=0.3

b)probability that a randomly chosen young adult has at least a high school education =1-P( person chosen did not complete high school)=1-0.14 =0.86

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