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?

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.