(a) let (x, y ) denote a uniformly chosen random point inside the unit square

[0,1]^2 =[0,1]×[0,1]={(x, y): 0≤x, y≤1}.

let 0 ≤ a < b ≤ 1. find the probability p(a < x < b), that is, the probability that the x-coordinate x of the chosen point lies in the interval (a, b).

(b) what is the probability p (|x−y|≤1/4) ?