Mutually Exclusive Events
In layperson's terms, two events are 'mutually exclusive' if they cannot occur at the same time. An example is tossing a coin once, which can result in either heads or tails, but not both.
In the coin-tossing example, both outcomes are collectively exhaustive, which means that at least one of the outcomes must happen, so these two possibilities together exhaust all the possibilities. However, not all mutually exclusive events are collectively exhaustive. For example, the outcomes 1 and 4 of a single roll of a six-sided die are mutually exclusive (cannot both happen) but not collectively exhaustive (there are other possible outcomes; 2,3,5,6).
Read more about Mutually Exclusive Events: Logic, Probability, Statistics
Famous quotes containing the words mutually exclusive, mutually, exclusive and/or events:
“If neurotic is wanting two mutually exclusive things at one and the same time, then I’m neurotic as hell. I’ll be flying back and forth between one mutually exclusive thing and another for the rest of my days.”
—Sylvia Plath (1932–1963)
“Our rural village life was a purifying, uplifting influence that fortified us against the later impacts of urbanization; Church and State, because they were separated and friendly, had spiritual and ethical standards that were mutually enriching; freedom and discipline, individualism and collectivity, nature and nurture in their interaction promised an ever stronger democracy. I have no illusions that those simpler, happier days can be resurrected.”
—Agnes E. Meyer (1887–1970)
“If neurotic is wanting two mutually exclusive things at one and the same time, then I’m neurotic as hell. I’ll be flying back and forth between one mutually exclusive thing and another for the rest of my days.”
—Sylvia Plath (1932–1963)
“By the power elite, we refer to those political, economic, and military circles which as an intricate set of overlapping cliques share decisions having at least national consequences. In so far as national events are decided, the power elite are those who decide them.”
—C. Wright Mills (1916–1962)