There are three sections of a mathematics course available atconvenient times fo

Question

There are three sections of a mathematics course available atconvenient times for a student. There is a 25% chance that Professor Jones gives a final exam,a 15% chance that Professor Cates givesa final exam, and a 9% chance thatProfessor Smithson gives a final exam. At other times there are twobiology sections, and in those the probabilities of a final are4% and 15%.Find the probability that a student who randomly chooses onemathematics course and one biology course has to take at least onefinal examination.

Explanation / Answer

This is a series of conditional probabilities. Let J = ProfJone's class, C = Prof Cate's class, and S= Prof Smithson'sclass. Also, note that P(A|B) = P(A int B)/P(B) , so P(A intB) = P(A|B)*P(B)

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