SOLUTION: A driver’s license examiner knows that 75% of all applicants have attended a driving school. If an applicant has attended a driving school, the probability is 0.85 that he or she w

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Question 404205: A driver’s license examiner knows that 75% of all applicants have attended a driving school. If an applicant has attended a driving school, the probability is 0.85 that he or she will pass the license examination, and if an applicant has not attended a driving school, the probability is 0.60 that he or she will pass the examination. What is the probability that an applicant passes the license examination?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
P(pass) = P(pass AND school) + P(pass AND no-school)
= P(pass|school)*P(school) + P(pass|no-school)*P(no-school)
= 0.85*0.75 + 0.60*0.25
= 0.7875