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, 55% as nonmanagerial workers, and 15% to be fired. In step II, 70% of the management trainees are assigned to managerial positions, 20% are assigned to nonmanagerial positions, and 10% are fired. Also in step II, 70% of the nonmanagerial workers are kept in the same category, 5% are assigned to management positions, and 25% are fired. What is the probability that a randomly chosen hiree will be assigned to a management position at the end of the training period?