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

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) (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
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