Non-mutually exclusive events

If two events are not mutually exclusive, it means that it is possible for them both to happen.

Pretty self-explanatory: they’re the opposite of [[ /mutually exclusive events|mutually exclusive events]]

Venn diagram

If two events are not mutually exclusive, it’s possible for them both to happen, so we need to draw two circles in the venn diagram intersecting.

Examples of non-mutually exclusive events

• If we roll a die, “rolling an even number” and “rolling a prime number” are non-mutually exclusive, because they can both happen if the number is 2.
• “Picking a round fruit” and “picking an orange fruit” are non-mutually exclusive, for example, we could pick a, well, orange.