Probability and Conditional Probability

SAT Math· difficulty 5/5

Survey of voters: Democrats: 60 support policy, 40 oppose. Republicans: 30 support, 70 oppose. Which conditional probability is largest?

  • A

    P(support | Republican)

  • B

    P(Democrat | support)

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  • C

    P(support | Democrat)

  • D

    P(Republican | support)

Explanation

P(support | Dem) = 60/100 = 0.60. P(Dem | support) = 60/90 = 0.667. P(support | Rep) = 30/100 = 0.30. P(Rep | support) = 30/90 = 0.333. Largest = P(Dem | support).

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