HELPPP!!

[coarse totem]

HELP ME PLS

Jin-Hee and her brothers are setting out on a resource-gathering expedition to gather materials for Paper City! On the first night, they stop to camp in an area just outside Thumbtack Forest.

As her brothers unpack supplies from the car, Jin-Hee searches for a good spot on which to set up their tent. The campgrounds can be divided into a cartesian plane. The (X) and (Y) coordinates fall between (-5) and (5), representing the number of miles from the center of the grounds, located at point ((0,0)).

[ivory kestrel]

Adesh

Adesh

Jin-Hee thinks it might be easier to pick random coordinates on which to set up the tent, but there is a triangular lake with the vertices \(A \hspace{1mm} (0,0)\), \(B \hspace{1mm} (4,0)\), and \(C \hspace{1mm} (4,4)\) on the campgrounds. What is the probability that Jin-Hee would randomly select a coordinate that falls within the lake? Write your answer as a fraction.

[coarse totem]

yes

: There are (121) possible coordinate combinations when (X) and (Y) are between (-5) and (5).

[ivory kestrel]

Adesh

: There are \(121\) possible coordinate combinations when \(X\) and \(Y\) are between \(-5\) and \(5\).