Probability Chances that y>2x

sciguy

1. The problem statement, all variables and given/known data
Two numbers are chosen, (x and y) both in the interval [0,1]
What is the probability that y>2x

2. Relevant equations
N/A

3. The attempt at a solution
I'm new to all the probability stuff, so I'm still learning all the notation. So far, I know that if y is going to be greater than 2x, but still in the [0,1] range, then x must be in the range [0,.5]. I imagine the final probability would be (.5)*(?). I'm just not sure how you would find the (?). By intuition, I think it would be .5 as well, making the final answer .25, but I'm not sure why this is the case.

Thanks!
Jeremy