For those of you who want to figure it out for yourself, or just want to have fun thinking the computer is psychic, DON'T READ TIM's EXPLAINATION.
For Tim, he gets the prize for being the first one to post the explaination for how it works.
SO HOW DOES IT WORK?
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It turns out that for all the possible numbers you can choose,
there are only 9 possible answers: 9 18 27 36 45 54 63 72 81
And although the symbols are randomized, multiples of 9
always share the same symbol. Refresh the page and you'll
see a new symbol, but 9 and 45 and 81 (and the rest of the 9
possible answers) will share that new symbol.
Don