Probability and Conditional Probability

SAT Math· difficulty 3/5

Of 100 students, 60 take Spanish and 40 take French. Of those taking Spanish, 25 also play sports. What is the probability that a Spanish student plays sports?

  • A

    25/6025/60

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  • B

    25/4025/40

  • C

    25/10025/100

  • D

    60/10060/100

Explanation

Restrict to Spanish students (60 total): P(sportsSpanish)=25/60P(\text{sports} | \text{Spanish}) = 25/60.

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