I have some understanding of how probabilities work. My question is: Is there a way to calculate the reunion, intersection or conditional of some probabilities without knowing the specific events of each one (eg. tossing a 2, getting an even number, getting an ace, etc.)?
So for example, it's easy to calculate $P(A∩B)$ for some independent events since it's $P(A)\times P(B)$, but for some non-independent ones? Same for $P(A∪B)$, $P(A|B)$, $P(A|B∪C)$.