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Question: Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 10%. There is only a 50% chance that she will find a tutor at such short notice.

a. What is the probability that Christine fails the course?

b. Christine ends up failing the course. What is the probability that she had found a tutor?

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