Probability and Conditional Probability

SAT Math· difficulty 3/5

A two-way table on diet/health: Healthy diet — Fit: 60, Unfit: 20. Unhealthy diet — Fit: 25, Unfit: 45. What is the probability that someone who eats a healthy diet is fit?

  • A

    60/6560/65

  • B

    60/15060/150

  • C

    60/8560/85

  • D

    60/8060/80

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Explanation

Healthy diet total = 60+20=8060 + 20 = 80. P(fithealthy)=60/80=3/4P(\text{fit} | \text{healthy}) = 60/80 = 3/4.

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