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Two events are non mutually exclusive events are those that have an overlap. That is, there is at least one outcome that is "favourable" to both events.

For example if, for a roll of a die,

event A: the outcome is even

event B: the outcome is a prime


Then the outcome 2 is favourable to both A and B and so A and B are not mutually exclusive.

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Q: What are non mutually exclusive events?
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