Employment data at a large company reveal that 72% of the workers are married, 3

Question

Employment data at a large company reveal that 72% of the workers are married, 36% are college graduates, and half of the college graduates are married. What is the probability that a randomly chosen worker is: Question 1. Neither married nor a college graduate? (answer should be a probability, that is, a number between 0 and 1) 04 Question 2. Married but not a college graduate? (answer should be a probability, that is, a number between 0 and 1). 64 Question 3. Married or a college graduate? (answer should be a probability, that is, a number between 0 and 1) .96

Explanation / Answer

A:married ; thus P(A)=0.72

B: college graduate thus ;P(B)=0.36

P(A|B)=0.5

P(A|B)=P(A and B)/P(B)

thus P(A and B)=0.5*0.36 =0.18

Thus P(A or B)=P(A)+P(B)-P(A and B)=0.72+0.36-0.18=0.9

a) P(neither A nor B)=1-P(A or B)=1-0.9=0.1

b) P(A and not B)=P(A or B)-P(B)=0.9-0.36=0.54

c) P(A or B)=0.9

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