Question

two independent random variables X an Y are uniformly distributed in the interval [-1,1], we need to find \[\Large P[\max(x,y)<\frac{ 1 }{ 2 }]\]

Answer 1

I would think it is the area of the region bounded by x<½ and y <½

Answer 2

i have solved it, but my method is somehow not convenient

Answer 3

9/16

Answer 4

yes i tried this one like this