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). Let T be the event of getting the white ball twice, F the event of picking the white ball first, S the event of picking the white ball in the second drawing.

For (a) and (b), use x/y. For example: 9/10

1. Compute P(T).
2. Compute P(T|F).
3. Are T and F independent? Yes or No.
4. Are F and S mutually exclusive?Yes or No.
5. Are F and S independent?Yes or No.