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.

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.

Question	Answer
What is the definition of non-mutually exclusive events?	It is possible for both events to happen.
How do you draw a Venn diagram for two non-mutually exclusive events?	Draw two circles that intersect.
Give an example of non-mutually exclusive events from rolling 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.
Give an example of non-mutually exclusive events involving fruit.	“Picking a round fruit” and “picking an orange fruit” are non-mutually exclusive, for example, picking an orange.