 A random variable has a probability distribution, which specifies the probability of Borel subsets of its range.Random variables can be discrete, that is, taking any of a specified finite or countable list of values (having a countable range), endowed with a probability mass function characteristic of the random variable's probability distribution; or continuous, taking any numerical value in an interval or collection of intervals (having an uncountable range), via a probability density function that is characteristic of the random variable's probability distribution; or a mixture of both types.Two random variables with the same probability distribution can still differ in terms of their associations with, or independence from, other random variables.