Roll three fair dice simultaneously. Your score is defined as the maximum - minimum of the three values on the top faces. Your rival (a friendly person, just playing against you) will roll three fair dice simultaneously and note the maximum. Then she will roll the three dice a second time and note the minimum. Her score will be the maximum of the first roll minus the minimum of the second roll. When you and your rival play this game, whoever has the larger difference wins the game. Who has what chance of winning