What are Mutually Exclusive Events?
Two events are mutually exclusive if they cannot both happen. Consider the possible outcomes of one roll of a die. The events:
- x = an even number”
- x = 3 are mutually exclusive
- cannot both happen on the same roll
Example of mutually exclusive events:
P(A or B) = P(A) + P(B) − P(AB).
When events A and B are mutually exclusive,
P(AB)=0, so P(A or B) = P(A) + P(B).
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