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Note that and are mutually exclusive; both and can occur.

It’s impossible for two heads to turn up two tails to turn up. This means that and are mutually exclusive. This result can be demonstrated using sets as follows:

In our example, 0.55 does not equal 0.51, so the events are not mutually exclusive.

Clearly, the roll of a die must result in a number that is either odd or even; it can’t be both. Therefore, events and are mutually exclusive.

Mutually Exclusive Event: Definition, Examples, Unions

Compare your answer to the given “union” statement (A U B). If they are the same, the events are mutually exclusive. If they are different, they are not mutually exclusive. Why? If they are mutually exclusive (they can’t occur together), then the (U)nion of the two events must be the sum of both, i.e. 0.20 + 0.35 = 0.55.

An is one possible outcome of a random experiment. Events may sometimes be related to each other. Two key ways in which events may be related are known as mutually exclusive and independent.

The Meaning of Mutually Exclusive in Statistics - …

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