Uniform Random Variables are used where each outcome of an event is equally probable. For pU(u)=P(U≤u){\displaystyle p_{U}(u)=P(U\leq u)} where U{\displaystyle U\,} is some [a,b]{\displaystyle [a,b]\,}-Uniform Random Variable, pU(u){\displaystyle p_{U}(u)\,} will always be zero unless (a≤u≤b){\displaystyle (a\leq u\leq b)}. When (a≤u≤b){\displaystyle (a\leq u\leq b)}, then pU(u)=1b−a{\displaystyle p_{U}(u)={\frac {1}{b-a}}}.