Probability Function

A Probability function is a function that assigns probabilities to each value $y$ of a random variable $Y$.

A Probability function may be denoted as $P(Y=y)$ or $p(y)$

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Example

$\mathbb{S}=\{1,2,2,3\}$

Input	Probability Function	Output
$1$	$p(1)$	$\frac{1}{4}$
$2$	$p(2)$	$\frac{1}{2}$
$3$	$p(3)$	$\frac{1}{4}$