Compatible Events

Compatible Events

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 ≠ ∅.


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:

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