Impossible event
From Encyclopedia of Mathematics
An event that, under the given conditions, cannot possibly occur. If 
is a probability space, the impossible event is 
that does not contain any of the elementary outcomes 
(the empty set). The impossible event is the complement of the certain event 
in this probability model, and for this reason it is assigned probability zero: 
.
How to Cite This Entry:
Impossible event. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Impossible_event&oldid=47322
Impossible event. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Impossible_event&oldid=47322
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article