Mutually Exclusive

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

          Choices:

A.

B.

C.

D.

Correct Answer: A

Solution:

Step 1: when A and B are mutually exclusive events.

Step 2:  

Related Terms for Mutually Exclusive

  • Event
  • Disjoint Events

Additional Links for Mutually Exclusive