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Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 45% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 15%. There is only a 55% chance that she will find a tutor at such short notice.

a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)

Probability

b. Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.)

Probability

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