3.2 Exercise 6

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:

1. Let F = the event of getting the white ball twice.
2. Let G = the event of getting two balls of different colors.
3. Let H = the event of getting white on the first pick.
4. Are F and G mutually exclusive?
5. Are G and H mutually exclusive?