Probability and Conditional Probability

SAT Math· difficulty 4/5

A class has 30 students: 18 girls, 12 boys. 12 girls and 8 boys play sports. Given that a student plays sports, what is the probability they are a boy?

  • A

    8/128/12

  • B

    12/3012/30

  • C

    8/308/30

  • D

    8/208/20

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Explanation

Total athletes = 12+8=2012 + 8 = 20. P(boysports)=8/20=2/5P(\text{boy} | \text{sports}) = 8/20 = 2/5.

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