Mutually Exclusive and Exhaustive Events

Mutually Exclusive :

• They are the events that do not have any outcomes in common
• Mutually exclusive events are disjoint events, where P(A ∩ B) would be equal to 0

Image source : Team, D. S. (2020, November 20). Mutually Exclusive Event: Definition, Examples, Unions. DATA SCIENCE. https://datascience.eu/mathematics-statistics/mutually-exclusive-event-definition-examples-unions/

Exhaustive events :

• They are the events that contain all of the outcomes in the sample space, we don't care if A take 20% and B 80% of the sample space, the main thing is that they contain the entire sample space.

• P (A ∪ B) would be always equal to 1, because every single outcome in the sample space is considerate.

Note :

• Exhaustive events can overlap, if they don't , we would have both exhaustive and mutually exclusive events at the same time