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Mutually exclusive means if one thing is true the other must be false and vice versa.
If A is true, B is false. If B is true, A is false.

For instance,
The ball was totally red.
The ball was totally blue.
These are mutually exclusive because the ball can only be one or the other.

The ball was red.
The ball was blue.
These are NOT mutually exclusive because the ball could also be red AND blue.

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Q: What does the expression mutually exclusive mean?
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