A bank rewards its employees by giving awards to any employee who is cited by a customer for giving special service. Each award consists of two gift certificates contained in a sealed envelope. Each envelope contains certificates for one of the five following combinations of items.
1. Dinner and box of candy.
2. Round of golf and flowers.
3. Lunch and flowers.
4. Box of candy and lunch.
5. Music CD and lunch.
(a) An employee, cited twice for service, first selects one envelope from a collection of five and then the second from the full collection of five choices. List the sample space and assign probabilities to the simple events.
(b) State the compositions of the events
A = {The employee gets flowers}
B = {The employee gets lunch}
AB = {The employee gets flowers and lunch}
and give their probabilities.