Suppose I have 2 random variables x1 and x2/2. Where both the random variables lie in a uniform distribution between [0, 1].(that means x1 value lies between [0, 1], whereas x2 value lies between [0, 1/2]. What is the probability that when i pick x1 it will be greater than x2? Vice versa.
(My intuition tells mes that its 0.75 chance x1 > x2/2, and 0.25 change x1 < x2/2) But I dont know why that is the case.