Probability and Conditional Probability

SAT Math· difficulty 3/5

A school records 200 students by sport: Soccer-Yes/No, Basketball-Yes/No. 60 play both, 40 only soccer, 50 only basketball, 50 neither. What is the joint probability of playing both?

  • A

    60/10060/100

  • B

    60/11060/110

  • C

    60/15060/150

  • D

    60/20060/200

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Explanation

Joint probability = (both) / total = 60/200=0.3060/200 = 0.30.

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