You don't need to know anything before. Game theory has a word for this type of game called "perfect information" https://en.m.wikipedia.org/wiki/Perfect_infor

You don't need to know anything before. Game theory has a word for this type of game called "perfect information" https://en.m.wikipedia.org/wiki/Perfect_information https://en.m.wikipedia.org/wiki/Perfect_information It might be interesting, but the previous board state should not be a relevant factor when considering rarest move