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Probability and Conditional Probability

SAT Math· difficulty 3/5

Out of 80 students: 30 boys play sports, 10 boys don't, 25 girls play sports, 15 girls don't. What is the probability a randomly chosen boy plays sports?

  • A

    30/8030/80

  • B

    30/5530/55

  • C

    30/4030/40

    check_circle
  • D

    55/8055/80

Explanation

Total boys = 30+10=4030 + 10 = 40. P(sports∣boy)=30/40=3/4P(\text{sports} | \text{boy}) = 30/40 = 3/4.

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