What are you using to generate the strings?
In the past computers where using generators that under some particular tests turned out to be performing really really bad.
var random = [];
var i = 10;
while(i) {
random.push(Math.floor(Math.random() * 2));
i--;console.log(random.join());
I was just manually doing the insertions. It lost five out of five times, though the last time only by a very small amount.
It seems also that it generated very often a 1 after a 0 (more than twice as many times than it generates another 0).
Now I got curious, I'll do more tests and look at the documentation for Math.random
Certainly I won't ever use it for any important feature of a website!
EDIT: it seems that with large enough numbers it's not too bad, so I might be able to say more after reading the documentation. At any rate using the strings generated with the khanacademy link I was able to win few times in a row.