Probability and Conditional Probability

SAT Math· difficulty 5/5

A medical test has the table: Disease (D) — Positive: 90, Negative: 10. No Disease (ND) — Positive: 50, Negative: 850. If a person tests positive, what is the probability they actually have the disease?

  • A

    90/14090/140

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  • B

    90/95090/950

  • C

    90/100090/1000

  • D

    90/10090/100

Explanation

Total positives = 90+50=14090 + 50 = 140. P(Dpositive)=90/140P(\text{D} | \text{positive}) = 90/140.

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