Question: Suppose that a student knows the answer to any given question on a multiple choice exam with 60% probability. If he does not know an

Suppose that a student knows the answer to any given question on a multiple choice

exam with 60% probability. If he does not know an answer, he chooses one at random.

Let K+ be the event "student knows the answer)

Let K- be the event "student does not know the answer

Let C+ be the event "answer is correct"

Let C- be the event "answer is incorrect"

Hint: You need Bayes' Theorem to solve this.

If the student correctly answered a given question, what is the probability he knew the answer

if the question was a True/False (two choices)?

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