A new model of laptop computer can be ordered with one of three screen sizes (10 inches, 12 inches, 15 inches) and one of four hard drive sizes (50 GB, 100 GB, 150 GB, and 200 GB). Consider the chance experiment in which a laptop order is selected and the screen size and hard drive size are recorded.

a. Display possible outcomes using a tree diagram.

b. Let A be the event that the order is for a laptop with a screen size of 12 inches or smaller. Let B be the event that the order is for a laptop with a hard drive size of at most 100 GB. What outcomes are in

i. A^C?

ii. A ⋃ B?

iii. A ⋂ B?

c. Let C denote the event that the order is for a laptop with a 200 GB hard drive. Are A and C mutually exclusive events? Are B and C mutually exclusive?