Probability and Conditional Probability

SAT Math· difficulty 4/5

Using the data from problem 38, what is the probability that a randomly chosen student who plays sports is a girl?

  • A

    25/8025/80

  • B

    25/3025/30

  • C

    25/5525/55

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  • D

    25/4025/40

Explanation

Students who play sports: 30+25=5530 + 25 = 55. Of those, 25 are girls. P(girlsports)=25/55P(\text{girl} | \text{sports}) = 25/55.

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