Atraining 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?