Chapter 4.18, Problem 15E

A nuclear power plant has double redundancy on the feedwater pumps used to remove heat from the reactor core. A safely operating plant requires only one of the three pumps to be functional. Define the events A, B, and C as follows:

A: Pump 1 works properly

B: Pump 2 works properly

C: Pump 3 works properly

Describe in words the following events:

1. a. The intersection of A, B, and C
2. b. The union of A, B, and C
3. c. The complement of the intersection of A, B, and C
4. d. The complement of the union of A, B, and C