Consider X, Y with joint density fX,Y (x,y) = 1/4 for x2 + y2 4, and

Consider X, Y with joint density
fX,Y (x,y) = 1/4π
for x2 + y2 ≤ 4,
and fX,Y (x,y) = 0 otherwise. Find the probability that (X, Y) is at most 1 unit from the origin and is located in the first quadrant, i.e., that X ≥ 0 and Y ≥ 0 and X2 + Y2 ≤ 1.