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At a high school, 18% of all students are in the school musical and the choir, and 32% of the students are in the school musical. What is the probability that a student is in the choir, given that the student is in the school musical

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Answer: 56.25%

Step-by-step explanation:

Probability that student is in the school musical and choir = Probability that student is in choir given that they are in musical * Probability that student is in the school musical

Changing the subject of the formula:

Probability that student is in choir given that they are in musical = Probability that student is in the school musical and choir / Probability that student is in the school musical

= 18% / 32%

= 56.25%