👉 In mathematics and science, a uniformly distributed random variable is one that has equal probability of being any value. This means that all values are equally likely to occur, regardless of how far away they are from the mean (average) of the distribution. For example, if we have a uniform distribution on a set of numbers between 0 and 1, then each number in the set has an equal chance of occurring. Uniformly distributed random variables can be used for a wide range of applications,