The difference between mutually exclusive events and opposing events is that opposites must be mutually exclusive, and mutual exclusion is not necessarily opposite.

The intersection of events A and B is empty, and A and B are mutually exclusive events, also called incompatible events. It can also be expressed as: events that cannot happen at the same time. If A∩B is an impossible event (A ∩ B = φ), then event A and event B are mutually exclusive, that is to say, event A and event B will not happen at the same time in any test.

One of them must happen. Two mutually exclusive events are called opposites. Also known as "reverse events", it is impossible to happen at the same time.

If A and B are impossible events and A and B are inevitable events, then A and B are mutually opposite events, that is to say, A and B must occur and only one event can occur.

Expressed in mathematical language is: if? Event a and event b are reciprocal events. Also known as event A and event B are opposite events. That is to say, in each experiment, one and only one of event A and event B must occur. The opposite event of a is recorded as? .

Mutually exclusive events and opposing events cannot happen at the same time.