> [!definition] > > The [[Random Variable|random variable]] $X$ whose [[Probability Distribution|probability distribution]] is uniform[^1] is known as a uniform random variable. It has the following [[Probability Mass Function|probability mass function]]: > $ > p(x_1) = p(x_2) = \cdots = p(x_n) = \frac{1}{n} > $ [^1]: From the principle of symmetry, see [[Probability|probability]].