Question

Students are given three chances to pass a basic skills exam for permission to enrol in Calculus. Sixty percent of the students pass on the first try, of those that fail on the first try, fifty four percent pass on the second try, and of those remaining, forty eight percent pass on the third try.

a.What is the probability that a student passes on the second try?

b.What is the probability that a student passes on the third try?

c.What is the percentage of the student pass?

Answer 1

The probability of all events occurring is found by multiplying the probabilities of the individual events. I will do one of the problems for you.

b. (1-.6)(.4)(.46)(.48) = ?

P(fail 1st) = 1-.6

P(fail 2nd) = (.4)(.46)

This should give you and idea of the process to solve the other two problems.