Write a program which scans value of k where k indicates number of mutually exclusive and exhaustive events (E1, E2, ..., Ek). Assume any another event B. Implement Bayes' theorem assuming these k events and event B to estimate the probability of each of the k events assuming that the event B has already occurred (i.e. P(E1|B), P(E2|B), ..., P(Ek|B)). Your program should also scan (i) probability of each of the k (or k -1) events and (ii) probability of occurrence of event B assuming that each of the k events has occurred (i.e. P(B|E1), P(B|E2), ... P(B|Ek)).