Dicey Decisions

1. Dicey Decisions Objective: I will analyze experimental and theoretical probabilities.

2. Playing the Game: This is a game of chance where you must try to make the odds go in your favor. • Assign one person to be Player A and one person to be Player B. • Player A begins by choosing one of the four dice. Player B chooses one of the remaining three dice. • Record the die chosen by each of the players on the recording page. • Each player rolls his or her die, and the person with the highest number wins. Record the color of the winning die in the Winner column. • Roll both dice six times, recording who won each roll. This is one complete game. • At the bottom of the table, record the number of times each player won in that game. • Repeat steps 1-6 to complete six games. Each game, trade which player chooses his or her die first. • At the bottom of the page, record the number of games each player won overall.

3. Dicey Data Tables

4. Reflection • In the first six games you played, who won more often, the person choosing first or the person choosing second? Why? • In the games you played after you developed a strategy, who won more often, the person choosing first or the person choosing second? Why? • Do you think it matters if you choose first or second? Why or why not?

5. Class Data Table

6. Debrief • If the person going first chose the red die (A), which die would you choose? Why? • What if he or she chose the yellow die (B)? . . . Green die (C)? . . . Blue die (D)? Justify your responses. • Please describe the strategy you developed for choosing your die?

7. Ticket Out The Door Based on the analyzing that we have done of the data, would your strategy change? Why or why not?