Lemma
EasyConditional probability
OpenStax, Introductory Statistics 2e §3.2 Independent and Mutually Exclusive Events · Try It 7 · Probability · Conditional probability

Independent and Mutually Exclusive Events · Try It 7

A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(B AND D) = 0.20.

(a) Find P(B|D).
(b) Find P(D|B).
(c) Are B and D independent?
(d) Are B and D mutually exclusive?

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OpenStax, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Try It 7

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