Question

At Kennedy High 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 approximate
probability that a student takes Spanish given that the student is taking Technology?

Answer 1

0.13

Explanation:

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

P(spanish|Technology) =  0.087/0.68 = 0.1279 ~ 0.13

Answer 2

The probability that a student takes Spanish given that the student is taking Technology is; 0.13

To solve this, we need to understand Baye's theorem of conditional probability which is;

P(A|B) = P(AB)/P(B)

Where;

P(A|B) is the probability of A given that B is true

P(AB) is probability of A & B

P(B) is probability of B

We are given;

P(A student takes technology) = 0.68

P(student takes both technology and Spanish) = 0.087

Applying Baye's theorem, we have;

P(that a student takes Spanish given that the student is taking Technology) = 0.087/0.68

P(that a student takes Spanish given that the student is taking Technology) = 0.13

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