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 eight are in size M, 10 in size L, and two in size XL. Also nine of the shirts are white, five are blue, and the remaining are 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(A^c), and P(B). 

b. Are the events A and B mutually exclusive? Explain. 

c. Would you describe Mike’s preference by the events A ∪ B or A ∩ B?