Cumulative probability is used in statistics to determine the probability of a particular outcome given the previous outcomes of the same problem with the same variables. For example, cumulative probability can be used to determine the probability that a coin flipped 10 times comes up twice as tails.
Cumulative probability is applied mathematically through the cumulative distribution function. The graph of this function shows that cumulative probability never decreases and always moves rightward on an x/y coordinate plane. The cumulative distribution function is used to derive statistical functions for tail distribution or exceedance, folded cumulative distribution, and inverse distribution function. A practical use of cumulative probability can be seen in graphs of population distribution.