Four people are going for an interview between 9am and 10am. Each person is to be interviewed in two separate rooms for a total of 30 minutes. They are interviewed for 15 minutes in room 1. And they are interviewed for 15 minutes in room 2. Each person is interviewed by themselves (no doubling up occurs in a room in a specified time slot).

1) - How many ways can the interviews be scheduled during the one hour period.

2) - If a person arrives at 9am, what is the probability they will have their interviews consecutively (eg 1 at 9am, the other at 9:15.... or 1 at 9:30, the other at 9:45 etc...)

2) - If someone turns up at 9am, what is the probability they will be able to leave after the third interview since they need to attend another appointment somewhere else?

Any help with these ones will be greatly appreciated!!!