OpenStax, Introductory Business 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 $P (B \cap D) = 0.20$ .

(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 Business Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Try It 7

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