[math-fun] a game

let's play a game. each round i secretly write down either the number 1 or 2, and you guess which. if you guess correctly, you get that many points. otherwise you get 0 points that round. after 4 rounds, you win if your total is 3 or more points. otherwise i win. who is favored, you or me? a not-so-useful hint that will let you check your work: your probability of winning (when written as a fraction in lowest form) has denominator 4069. erich