Independent and Mutually Exclusive Events · Try It 10

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, and S the event of picking the white ball in the second drawing.

(a) Compute P(T).
(b) Compute P(T|F).
(c) Are T and F independent?
(d) Are F and S mutually exclusive?
(e) Are F and S independent?

OpenStax, Statistics · §3.2 Independent and Mutually Exclusive Events · Try It 10