Two people are playing a board game that involves dice. However, one of the players has rigged the dice so that they get the highest possible roll on every turn, while the other player gets a random roll. With this, player one wins almost every game by a landslide.
In one game, Player Two finds a way to consistently stop Player One from achieving a landslide victory, but they have to rely on lucky rolls to win in the end.
In a second game, Player Two finds another way to consistently stop Player One from winning, this time resulting in a landslide victory for Player Two without the need for lucky rolls in the end.
What game are they playing? What two strategies does Player Two use to stop the cheater?