Lemma
EasyConditional probability
OpenStax, Introductory Business Statistics 2e §3.2 Independent and Mutually Exclusive Events · Try It 10 · Probability · Conditional probability

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

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OpenStax, Introductory Business Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Try It 10

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