However, not all mutually exclusive events are collectively exhaustive.
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Compare this to the concept of a set of mutually exclusive events.
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This parallels the fact that probabilities of mutually exclusive events are additive ( see probability axioms ).
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Further, this " multiplication axiom " introduces a symmetry with the summation axiom for mutually exclusive events:
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This argument presupposes that vulnerability discovery is a mutually exclusive event, that only one person can discover a vulnerability.
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Can we say mutually exclusive events as a special case of independent events . comment was added at 15 : 52, 21 May 2008 ( UTC)
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Thus, the world of strength athletics became fragmented, with a number of individuals being able to lay claim to be the strongest in the world by virtue of having won mutually exclusive events.
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:What goes wrong with 10 times 10 % = 100 % is that you are adding probabilities which seems correct, but it's only correct when the probabilities refer to mutually exclusive events.
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Two different openings of a book are mutually exclusive events and therefore, it does not matter if you have opened the book 1000 times prior to your next opening; the probability will be the same.
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The mutually exclusive event { 5 } has a probability of 1 / 6, and the event { 1, 2, 3, 4, 5, 6 } has a probability of 1, that is, absolute certainty.
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