Help understanding a set and its distribution

[whitejac]

Homework Statement

given set C = {(x,y)|x,y are integers, x^2 + |y| <= 2}

Suppose they are uniformly distributed and we pick a point completely at random, thus p(x,y)= 1/11

Homework Equations

Listing it all out,
R(X) = {-1,-2,0,1,2} = R(y)

The Attempt at a Solution

My problem is that when I list those out, I get a probability of 1/13, not 1/11...
(0,0)
(0,1)
(0,-1)
0,-2)
(0,2)
(1,0)
(-1,0)
(1,1)
(1,-1)
(-1,1)
(-1,-1)
(2,0)
(-2,0)

Maybe it's late and I'm making a mistake

 

[davidmoore63@y]

(2,0) and (-2,0) do not satisfy the inequality

 

[whitejac]

There it is, wow. Thank you. I was clearly tired