Lemma
EasyConditional probability
OpenStax, Introductory Statistics 2e §3.2 Independent and Mutually Exclusive Events · Example 6 · Probability · Conditional probability

Independent and Mutually Exclusive Events · Example 6

Let event C = taking an English class. Let event D = taking a speech class.
Suppose P(C) = 0.75, P(D) = 0.3, P(C|D) = 0.75 and P(C AND D) = 0.225.
Justify your answers to the following questions numerically.

(a) Are C and D independent?
(b) Are C and D mutually exclusive?
(c) What is P(D|C)?

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OpenStax, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Example 6

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