Mutually Exclusive and Exhaustive Events

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      Lesson summary:

      This video explains the concepts of mutually exclusive events and exhaustive events using the sample space of rolling two six-sided dice. Mutually exclusive events are events that have no common outcomes and are represented by non-overlapping Venn diagrams. The probability of these events occurring together is zero. Exhaustive events are events that contain all the outcomes in the sample space and are represented by Venn diagrams that cover the entire sample space. The union of exhaustive events is always equal to 1. If events A and B are exhaustive, the formula P(A or B) = P(A) + P(B) – P(A and B) should result in 1. When exhaustive events don’t overlap, they are both mutually exclusive and exhaustive.

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