Chloé chooses a real number uniformly at random from the interval . Independently, Laurent chooses a real number uniformly at random from the interval . What is the probability that Laurent's number is greater than Chloé's number?
[asy]
size(120, 320);
fill((0,100)--(0,300)--(100,300)--(100,100)--cycle, lightblue+opacity(0.7));
draw((0,0)--(100,0)--(100,300)--(0,300)--cycle);
draw((0,0)--(100,100), red+2);
label("", (0,0), SW);
label("", (100,0), S);
label("", (0,100), W);
label("", (0,300), W);
label("C", (100,0), SE);
label("L", (0,300), NW);
label("", (50,200), N);
[/asy]