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Probability and Conditional Probability

SAT Math· difficulty 4/5

A drug test has 95% true positive rate (sensitivity) and 99% true negative rate (specificity). If 1% of the population uses the drug, what does this NOT directly tell us?

  • A

    P(positive test | user)

  • B

    P(user)

  • C

    P(user | positive test)

    check_circle
  • D

    P(negative test | non-user)

Explanation

The conditional probability P(user∣positive)P(\text{user} | \text{positive}) requires Bayes' rule and additional calculation; it is not directly given.

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