Probability Die Difference and Uncertainty

Game 1 – Dice Difference This is a game for 2 players, A and B. Two dice are tossed together and the difference in value of the dice is noted. Player A wins if the difference is 0, 1, or 2. Player B wins if the difference is 3, 4, or 5. Who do you think will win. Write your thoughts down. Do 50 trials recording your results on a tally chart. Calculate the theoretical results. Plot your game results next to the theoretical results on a bar chart. What would happen if you completed 230 trials or even 1000 trials.

Game 1 – Dice Difference PROBLEM - Who would you rather be, A or B, why? Is the game fair, why? Alternatively, why not? PLAN - Is there any way we can check to see if the game is fair? DATA – Random samples? How many? ANALYSIS – Could we figure out whether it is fair and why? What are the options? Plots and probabilities. COONCLUSION and EVALUATION -Would it be better to be player A or player B?

Difference 1 2 3 4 5 6 Difference Frequency 6 1 10 2 8 3 4 5

Game 1 – Dice Difference Getting 0,1,2 is 24 chances out of 36 options