but still (1) there's some probability of both players choosing a number bigger than one million billion trillion, and (2) there's some probability of both othe

but still (1) there's some probability of both players choosing a number bigger than one million billion trillion, and (2) there's some probability of both other players choosing the same number. Actually, the probability that the other both players choose 1 is pretty big (~0.21). So even if you choose a super-big number, there's a big probability of you still winning.