Dicey Coordinates :P

Probability Level 4

Two dice are thrown simultaneously to get the coordinates of a point on the xyxy- plane. Then the probability that the point lies inside or on the region bounded by x+y=3|x| + |y|= 3 is of the form  ab\frac { \ { a } }{ b }, where aa and bb are co- prime integers . Find a+ba+b

This question is part of the set Best of Me
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