When facing uncertainty, decision making could be hard. Sometimes, simply examining the outcomes is already very useful in making a decision. We have a special mathematical word for outcomes; we call them “events.”
We suppose the events (possible individual outcomes) A, B, C, and so on are subsets of sample space S (possible all outcomes).
Event A or B happens—in set theory language, (reads A union B).
Event A and Event B both happen—in set theory language, (reads A intersection B).
Event A does not happen—in set theory language. Ac (reads A complement).
(Exclusive or—either A or B happen but not both—
Venn diagrams are a good way to visualize these.
The concepts of