Christine has always been weak in mathematics. Based upon her performance prior to final exam in Calculus, there is the 66% chance that she will fail course if she doesn't have a tutor. With the tutor, her probability of failing reduces to 36%. There is only a 76% chance that she will find out a tutor at such short notice.
Determine the probability that Christine fails the course?
Christine ends up failing the course. Determine the probability that she had found a tutor?