I have 5 questions. I want to answer them with quality and good sentences.
Question-a)Are events A and A^c mutually exclusive? Given two mutually exclusive events A and B, is it always true that B=A^c ?
Question-b) Is it reasonable to use traditional definition to find the probability that a particular face of unfair die will show up?
Question-c) Can we use the three axioms of probability alone to find the probability of an event?
Question-d) Are P(AB) and P(A,B) different notations of the same thing?
Question-e) Under what condition for the set of events A1,A2 ,…..,An can total probability theorem be applied to event B?