Lemma
EasyConditional probability
OpenStax, Introductory Statistics 2e §3.2 Independent and Mutually Exclusive Events · Try It 4 · Probability · Conditional probability

Independent and Mutually Exclusive Events · Try It 4

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:

(a) Let F = the event of getting the white ball twice.
(b) Let G = the event of getting two balls of different colors.
(c) Let H = the event of getting white on the first pick.
(d) Are F and G mutually exclusive?
(e) Are G and H mutually exclusive?

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OpenStax, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Try It 4

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