A point (x, y) is randomly chosen such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. What is the probability that y ≤ 4x?

Guest Aug 3, 2022

#1**+1 **

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

CPhill Aug 3, 2022