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Back to 3.2 Independent and Mutually Exclusive Events

3.2 Exercise 8

Avg difficulty 2.5

Let event A = learning Spanish. Let event B = learning German. Then A AND B = learning Spanish and German. Suppose P(A) = 0.4 and P(B) = .2. P(A AND B) = .08. Are events A and B independent? Hint—You must show one of the following:

  • P(A|B) = P(A)
  • P(B|A) = P(B)
  • P(A AND B) = P(A)P(B)

OpenStax Statistics, 3.2 Independent and Mutually Exclusive Events, exercise 8

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