Two dice are thrown simultaneously to get the co-ordinates on $x-y$ plane. Then the probability that this point lies inside or on the region bounded by $|x|+|y|=3$ is
Step-by-Step Solution
Key Concept: Count lattice points $(x,y)$ with $1\le x,y\le 6$ satisfying $|x|+|y|\le 3$
$x+y\le 3$ with $x,y\in\{1,2,3,4,5,6\}$: $(1,1),(1,2),(2,1)$: 3 points. $P=3/36=1/12$.
Correct Answer: 3