Suppose we pick a real number $x \in [0,5]$ and an arbitrary real number $y \in [0,2]$. What is the probability that $x$ is greater than $y$?
How do I tackle this problem? We know that $x$ is greater than $y$ if $x>2$. Hence I would have to compute $P(X>2)$. But that does not help very much.
EDIT: I should have mentioned the following possibilities were given. However, I was curious to the answers without giving these possibilities.
The following possibilities were given: (A) 40% (B) 60% (C) 70% (D) 75% (E) 80%
A hint would be appreciated.
Thanks in advance!