Question

A training program is used by a corporation to direct hirees to appropriate jobs. The program consists of two steps.

Step I identifies 30% as management trainees, 50% as nonmanagerial workers, and 20% to be fired. In step II, 75% of the management trainees are assigned to managerial positions, 20% are assigned to nonmanagerial positions, and 5% are fired. Also in step II, 65% of the nonmanagerial workers are kept in the same category, 5% are assigned to management positions, and 30% are fired. What is the probability that a randomly chosen hiree will be designated a management trainee but not be appointed to a management position?

Answer 1

The probability is the probality of being designated a a management trainee (i.e. 30%)  * the probability of not be appointed to a management posittion (i.e. 25%, which comes from 20% to be assigned to nonmanagerial position + 5% of being fired).

Result: 30% * 25% = 7.5%.

Answer: 7.5%.