Independent Events and Unions of Events

AP Statistics· difficulty 3/5

A two-way table of 100 outcomes is shown.

A A^c B B^c 12 18 28 42

Are events A and B independent?

  • A

    No; P(A|B) ≠ P(A)

  • B

    Cannot determine

  • C

    Yes; P(A|B) = P(A) = 0.40

    check_circle
  • D

    Yes; they are mutually exclusive

Explanation

P(A) = 40/100 = 0.40. P(A|B) = 12/30 = 0.40. Since equal, A and B are independent.

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