Imagine a game that uses the three dice shown below. The numbers on the three visible faces are repeated on the three hidden faces, as well. So die A has (1, 1, 5, 5, 9, 9), die B has (2, 2, 6, 6, 7, 7), and die C has (3, 3, 4, 4, 8, 8). The first player chooses one of these dice; then the second player chooses one of the remaining dice. The two players roll their dice, and the higher number scores 1 point. The winner of the game is the player with the most points after 100 rounds of play. Do you want to be the first player or the second player? Which die would you choose?