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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21-07-2016
Mathematics

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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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meerkat18 meerkat18 · Answer 1 · 2016-07-22T03:42:11+02:00

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.