Surgery Risks You have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs in 3% of such operations, the repair fails in 14% and both infections and failure occur together in 1%. What percent of these operations succeed and are free from infection?

Teenage Drivers An insurance company has the following information about drivers aged 16 to 18 years: 20% are involved in accidents each year; 10% in this age group are A students; among those involved in an accident, 5% are A students.

a) Let A be the event that a young driver is an A student and C the event that a young driver is involved in an accident this year. State the information given in terms of probabilities and conditional probabilities for the events A and C.

b) What is the probability that a randomly chosen young driver is an A student and is involved in an accident?

c) Find the percent of A students who are involved in accidents.