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Independent Events


IndependentEvents

Independent events are pairs of events A and B whose probabilities satisfy

 P(A intersection B)=P(A)P(B).

In an area model of probability, independence means that the fraction of A occupied by B is the same as the fraction of the entire sample space occupied by B. Overlap by itself does not imply dependence, and mutually exclusive events with positive probabilities are not independent (Papoulis 1984, p. 40).


See also

Dependent Events, Event, Independent Statistics, Markov Chain Explore this topic in the MathWorld classroom

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References

Papoulis, A. Probability, Random Variables, and Stochastic Processes, 2nd ed. New York: McGraw-Hill, 1984.

Referenced on Wolfram|Alpha

Independent Events

Cite this as:

Weisstein, Eric W. "Independent Events." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IndependentEvents.html

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