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Mutually Exclusive Events

If two events cannot occur at the same time, they are mutually exclusive. Imagine the possible outcomes of one die roll.

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:

  1. x = an even number”
  2. x = 3 are mutually exclusive
  3. 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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Owais Siddiqui
1 min read

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