[‚in·də′pen·dənt ¦ran·dəm ‚ver·ē·ə·bəls] (statistics) The discrete random variables X1, X2, … , Xnare independent if for arbitrary values x1, x2, … , xnof the variables the probability that X1= x1 and X2= x2, etc., is equal to the product of the probabilities that Xi= xifor i = 1, 2, … , n ; random variables which are unrelated.