The probability that a randomly selected point within the square falls in the red-shaded triangle is 1/6.
We already have,
The square's area.
= Side²
Side = 6
So,
= 6 x 6
= 36
And,
A triangle's area.
= 1/2 x width x height
Base = 3
4 in height
So,
= 1/2 x 3 x 4
= 3 x 2
= 6
Now,
The likelihood that a randomly chosen point within the square falls in the
Triangle with a red background.
= 6/36
= 1/6
Thus,
The likelihood that a randomly chosen point within the square falls in the
The red-shaded triangle is one-sixth of a whole.