Mike Danes has been delayed in going to the annual sales event at one of his favorite apparel stores. His friend has just texted him that there are only 20 shirts left, of which 8 are in size M,
10 in size L, and 2 in size XL. Also 3 of the shirts are white, 5 are blue, and the remaining is of mixed colors. Mike is interested in getting a white or a blue shirt in size L. Define the events A = Getting a white or a blue shirt and B = Getting a shirt in size L.
a. Find P (A), P (Ac), and P (B).
b. Are the events A and B mutually exclusive and exhaustive? Explain.
c. Would you describe Mike’s preference by the events A∪B or A∩B?