Stay in school: In a recent school year in the state of Washington, there were

315,000

high school students. Of these,

151,000

were girls and

164,000

were boys. Among the girls,

38,600

dropped out of school, and among the boys,

10,200

dropped out. A student is chosen at random. Round the answers to four decimal places.

(a) What is the probability that the student is male?

(b) What is the probability that the student dropped out?

(c) What is the probability that the student is male and dropped out?

(d) Given that the student is male, what is the probability that he dropped out?

(e) Given that the student dropped out, what is the probability that the student is male?