. Grade 7, Illustrative icon

Red, Green, or Blue?

Illustrative MathematicsVaries

The purpose of this task is for students to find the probability of compound events using organized lists, tables, or tree diagrams. What is interesting about this task is that even though the dice all have the same expected value, red is more likely to beat green, green is more likely to beat blue, and blue is more likely to beat red. So this game is analogous to Rock-Paper-Scissors, which is a surprising result for most people. These three dice form what is called a set of 'non-transitive dice'. It is possible to purchase these kinds of dice or to take white dice and alter the pips with white-out and a black sharpie marker and then color the edges with the appropriate colors.

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