Let X and Y be uniformly distributed in the interval [0,1]. Compute the probability that X+Y<1 and XY<(2/9) Solution (I hope this will help you) Uniform Distribution. Suppose the random variable X can assume k different values. Suppose also that the P(X = xk) is constant. Then, P(X = xk) = 1/k. Example 1 Suppose a die is tossed. What is the probability that the die will land on 6 ?.