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Here is a game of chance for two players using two dice of different colors (in this case, one red and one blue). Each of the two players rolls a die, and the winner is determined by the sum of the faces:
Note 4
• | Player A wins when the sum is 2, 3, 4, 10, 11, or 12. |
• | Player B wins when the sum is 5, 6, 7, 8, or 9. |
Use your own colored dice to collect data as we play the game.
If this game is played many times, which player do you think will win more often, and why?
For now, let your instincts guide your answer. Later on we'll analyze this problem more thoroughly.
Many people select Player A, since there are more outcomes that will cause this player to win. But in order to be sure, we need to determine the mathematical probability for each player winning. One way to arrive at these mathematical probabilities is to describe all possible outcomes when you toss a pair of dice and compute the sum of their faces.
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