Probability Distribution

Updated 12 Aug 2026

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Definition
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  a function $P$ over a finite universe $U$ assigning every element a weight in $[0, 1]$ , such that all the weights sum to 1
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Two Classic Examples
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  uniform distribution — every element gets weight $1/|U|$
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  point distribution at $x_0$ — all weight (probability 1) is placed on a single element $x_0$ , zero everywhere else
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Representation
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  since $U$ is finite, a distribution can be written as a vector of weights, one per element of $U$
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Related
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  Event (Probability)
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  Random Variable

Linked references 3