is the set of simple events which are in both and , and is the number of elements in this set.
It is the number of ways the both and can simultaneously occur.
CaptainBlack I know what does A intersection B means but what I don't understand is that what does this statement |A and B|/|B| has to do with the occurence of two events. I mean the author said that "The probability that A occurs is P(A) = |A|/6 = 3/6 = 1/2, while presuming B occurs, the probability that A occurs is |A and B|/|B|. What I am trying to understand is that how did the author form this equation for this situation. I hope my question is clear.