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28 February, 08:25

At Heard High School, the probability that a student takes Advanced Weight Training and Advanced Spanish is 0.099. The probability that a student takes Advanced Weight Training is 0.71. What is the probability that a student is taking Advanced Spanish if the same student is taking Advanced Weight Training?

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  1. 28 February, 08:37
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    The probability that the students take both Advanced Weight Training and Advanced Spanish is the product of their individual probabilities.

    P (A and B) = 0.099 = P (A) x P (B)

    where A and B are the events in which a student takes Advance Weight Training and Advanced Spanish.

    P (B) = P (A and B) / P (A)

    Substituting the known values,

    P (B) = 0.099 / 0.71 = 0.14

    Thus, the answer is 0.14.
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