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Certain event

From Encyclopedia of Mathematics
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An event which is known a priori to be certain to occur. More exactly, if is the space of elementary results, an event which occurs together with any of the elementary results is said to be certain, and must clearly coincide with the entire space . It is then natural to ascribe the probability 1 to a certain event:

An impossible event is an event complementary to .

How to Cite This Entry:
Certain event. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Certain_event&oldid=16962
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article