Conditional Probability

AP Statistics· difficulty 3/5

A bag is chosen at random (50/50). Bag 1: P(Red) = 0.6. Bag 2: P(Red) = 0.3.

0.5 Bag1 0.5 Bag2 R 0.6 B 0.4 R 0.3 B 0.7

What is P(Red)?

  • A

    0.60

  • B

    0.45

    check_circle
  • C

    0.90

  • D

    0.30

Explanation

P(Red) = 0.5(0.6) + 0.5(0.3) = 0.30 + 0.15 = 0.45.

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