Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 38% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 8%. There is only a 48% 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.)

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