Definition of Mutually Exclusive
- Two or more events are said to be mutually exclusive if they cannot occur at the same time.
- In other words, events that have no outcomes in common are said to be mutually exclusive events or disjoint events.
- If two events A and B are mutually exclusive, then the probability of the occurrence of A or B is the sum of the their individual probabilities.
Examples of Mutually Exclusive
- A six-sided die is rolled once.
Event A : rolling an odd number
Event B : rolling an even number
Events A and B are mutually exclusive, because they cannot both happen.
Solved Example on Mutually Exclusive
Two events A and B are mutually exclusive and
Correct Answer: A
Step 1: when A and B are mutually exclusive events.
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