An insurance company has the following information about drivers aged 16 to 18 years: 25% 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.
P(C) =
P(A) =
P(A|C) =
(b) What is the probability that a randomly chosen young driver is an A student and is involved in an accident?