+23 A point (x, y) is randomly chosen such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. What is the probability that y ≤ 2x?
+2407 We can solve this using geometry. :))
Drawing a 1 by 1 square, let one side be x, from 0 to 1. Let the other be y, from 0 to 1.
Then shade in the area where y <= 2x, the area is 3/4. :))
=^._.^=
+129852 See the graph here : https://www.desmos.com/calculator/1jam4kirxr
The area of interest is a trapezoid with a height of 1 amd bases of 1 and 1/2 inside a square with an area of 1
The probabiluty is just the area of the trapezoud = (1/2) (1) (1 + 1/2) = (1/2) (3/2) = 3/4
Just as catmg found !!!!
