Consider the following game, in which a referee picks a random integer…

Consider the following game, in which a referee picks a random integer between 1 and 100. One after the other, each of three players tries to guess the number the referee picked. Each player announces his or her guess before the next player guesses. Each guess has to be different from the previous guesses. The winner is the player who comes closest to the referee’s number without exceeding it. (It is possible for none of the players to win.) Suppose that Player 1 guesses 24, and that Player 3 will guess a number that gives her/him the best chance of winning. What number should Player 2 guess to maximize his/her chances of winning?

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #90101