> I think it can win more than half the time, because it can gather roughly how likely the same choice is to be played in a row.
With a random choice, the chance of playing the same choice in a row is 1/3. This does not give you any advantage over having no information (where each choice has a 1/3 chance.)
I think the misunderstanding is in
> a randomizer has pretty even distribution
With a random choice, the chance of playing the same choice in a row is 1/3. This does not give you any advantage over having no information (where each choice has a 1/3 chance.)
I think the misunderstanding is in > a randomizer has pretty even distribution
Having an even distribution over a long time does not make any specific choice less random. https://en.wikipedia.org/wiki/Gambler%27s_fallacy