Question

In a local high school, the probability that a student takes environmental science given they also take geography is 22%. The probability that a student takes geography is 75%. What is the probability that a student takes environmental science and geography? Explain how you found your answer.​

Answer 1

Imagine there's 100 students in the school. 72 students are taking environmental science. 25 students take both environmental science and geography.

That means of the 72 students taking environmental science, 25 are also taking geography. Thus, the probability that a student is taking geography given than that the student is taking environmental science is 25/72 = 0.347.