Equiprobable measure

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The sample space for a six-sided die example had the property that every simple event had the same probability.

If this is the case, we say that the probability measure is equiprobable.

WARNING: Not every probability measure is equiprobable! Do not assume this unless you have a good reason!

With an equiprobable measure, one can compute the probability of any event [math]E [/math] by just counting the number of elements of [math]E [/math]:

An equiprobable measure [math]\href{/cs2800/wiki/index.php/Pr}{Pr} [/math] on a finite sample space [math]\href{/cs2800/wiki/index.php/S}{S} [/math] is the probability measure given by [math]\href{/cs2800/wiki/index.php/Pr}{Pr}(E) := \href{/cs2800/wiki/index.php?title=Finite_cardinality&action=edit&redlink=1}{ |E|/|S|} [/math].