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Conditional Probability

AP Statistics· difficulty 3/5

A tree diagram shows P(A) = 0.6, P(B|A) = 0.7, P(B|A^c) = 0.2.

0.6 A 0.4 A^c B 0.7 B^c 0.3 B 0.2 B^c 0.8

What is P(A and B)?

  • A

    0.70

  • B

    0.60

  • C

    0.30

  • D

    0.42

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Explanation

P(A and B) = P(A) * P(B|A) = 0.6 * 0.7 = 0.42.

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