(12.34) Choose a young adult (age 25 to 29) at random. The probability is 0.14 t

Question

(12.34) Choose a young adult (age 25 to 29) at random. The probability is 0.14 that the person chosen did not complete high school, 0.32 that the person has a high school diploma but no further education, and 0.3 that the person has at least a bachelor's degree.

What is the probability (±0.01) that a randomly chosen young adult has some education beyond high school but does not have a bachelor's degree?   

What is the probability (±0.01) that a randomly chosen young adult has at least a high school education?

Explanation / Answer

Let,

L=the person chosen did not complete high school

H=the person has a high school diploma but no further education

B=the person has at least a bachelor's degree.

P(L)=0.14, P(H)=0.32, P(B)=0.3

a) 1-P(L)-P(H)=1-0.14-0.32=0.54

b) 1-P(L)=1-0.14 =0.86

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