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

(a) Compute $P\left(T\right)$.
(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, Introductory Business Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Try It 10