A point (x, y) is randomly chosen such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. What is the probability that y ≤ 4x?
See the graph here
https://www.desmos.com/calculator/nztbhkeg63
The total area is a square with a side of 1
We have a right triangle with legs of (1/4) and (1) which is not included in the inequality region
Its area = (1/2)(1/4) (1) = 1/8
So....the probability that y ≤ 4x is
[ 1 - 1/8)] / 1 = 7 / 8