Given two events X and Y: Event X has the probability 5/6. If event X happens, then the probability of event Y is 2/5. If event X does not happen, then the probability of event Y is 1/4. Find the following probabilities:
(a) P(not X)
(b) P(Y|not X)
(c) P(not Y | X)
(d) P(X and Y)
(e) P(not X and not Y)