Events that have results in common and that can occur at the same time.
- We also say that compatible events are joint or inclusive.
- If two events A and B are compatible, then A ∩ B ≠ ∅.
Example
In the random experiment that consists of rolling an honest die with six faces numbered 1 to 6 and recording the result that appears on the top face, the events “getting an even number” and “getting a number less than 4” are compatible events, because their intersection is not empty as it includes {2}. We can represent this situation using this Venn diagram:
