Let X and Y be the x and y coordinates respectively of a poi

Let X and Y be the x and y coordinates, respectively, of a point selected at random from the unit square. Determine whether X and Y are independent random variables.

Solution

X and Y will be independent when you only select a point when Y = constant

or when you select a point when X = constant

FOR EXAMPLE I WILL SELECT A POINT BUT Y = 5 SO I WILL ONLY SELECT A POINT IN \"X\"