If 0 < y < 1 and 0 < x < 1, find the probability that

Question

y < x. Begin by sketching te graph, and then use the area method to find the probability.

Please help me. I do not understand. Thank you in advance!

Answer 1

The area of the region is 1.

The line y=x divides it in half, along one diagonal.

So, the area below y=x, representing y<x is 1/2.

So, p(y<x) = (1/2)/(1) = 0.5