Question

At a high school, the probability that a student takes a science class and a history class is 0.44. The probability that a student takes a science class is 0.68, and the probability that the student takes a history class is 0.56. What is the probability (rounded to the nearest hundredth) that a student takes a history class given that the student is taking a science class?

0.44
0.65
0.30
0.79

Answer 1

P(history given science) = P(history intersect science) / P(science) = 0.44/0.68 = 0.65