A flight training program operated by a commercial airline includes two successive tests administered to potential pilots. Grades of "good", "fair" and "poor" are given on the first test, but only "pass" and "fail" grade are given on the second test. Of all potential pilots, 40% receive a grade of "good", 50% receive "fair" grade and 10% receive a "poor" grade on the first test. Of those the receiving a grade of "good" on the first test, 90% "pass" the final test and 10% "fail". Of those receiving "fair" on the first test, the probability of passing the second test is 60%. Those receiving "poor" on the first test have a 30% pass rate on the final test. Draw a tree diagram of all the prior probabilities

A flight training program operated by a commercial airline includes two successive tests administered to potential pilots. Grades of "good", "fair" and "poor" are given on the first test, but only "pass" and "fail" grade are given on the second test. Of all potential pilots, 40% receive a grade of "good", 50% receive "fair" grade and 10% receive a "poor" grade on the first test. Of those the receiving a grade of "good" on the first test, 90% "pass" the final test and 10% "fail". Of those receiving "fair" on the first test, the probability of passing the second test is 60%. Those receiving "poor" on the first test have a 30% pass rate on the final test. Draw a tree diagram of all the prior probabilities (1 1 marks)