What is the probability that a student takes geography given that the student is taking environmental science.

Question

In a school, the probability that a student takes environmental science and geography is 0.25. The probability that a student takes environmental science is 0.72. What is the probability that a student takes geography given that the student is taking environmental science.

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.

 

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