At RC Edwards Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?

Define

P (S) = probability that the student takes Spanish.

P (T) = probability that the student takes Technology

( = 0.68).

P (T and S) = probability that the student takes Technology and Spanish

( = 0.087).

P (S|T) = probability that the student takes Spanish, given that the student takes Technology.

The Law of Conditional Probability is

P (T and S) = P (S|T) * P (T)

Therefore

0.087 = P (S|T) * 0.68

P (S|T) = 0.087/0.68 = 0.128

Answer: P (S|T) = 0.128