Hi guys! Some people in our class are wondering if conditional probability can be used in this problem. Can you please give clarification to the problem? Thank you!

In a senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 21 studied both mathematics and history, 25 studied mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all the subjects, and 8 did not take any of the three. If a student is selected at random, find the probability that.....

a person is not taking psychology is taking both history and mathematics.

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TopNewestNo conditional probability needed. Just draw a Venn diagram and the answer should follow.

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Sorry for replying late. Thank you! Even my teacher believed that conditional probability is applied. I needed some proof to prove otherwise.

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