Johnson Products needs to hire a new team consisting of a marketing director, an HR manager, an office supervisor and an IT specialist. You've narrowed your choices to 6 marketing directors, 10 HR managers, 4 office supervisors and 3 IT specialists. How many team possibilities are there to choose from?

You have an important test tomorrow morning and want to be sure to wake up at 6:00 AM to study. Without an alarm to wake you up, you know you have no chance. You have an alarm clock that works 80% of the time. To be on the safe side, you decide to set both your alarm clock and your roommate's alarm clock also 80% reliable.

How likely is it you'll be awakened at the proper time? (Assume statistical independence.)