PROBABILITY DIE DIFFERENCE AND UNCERTAINTY GAME 1 DICE

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 theoretical results. • Plot your game results next to 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 1 0 1 2 3 4 2 1 0 1 2 3 2 1 0 4 3 2 5 4 6 5 Difference Frequency 5 0 6 3 4 1 10 1 2 3 1 0 1 2 3 2 1 0 1 4 3 2 1 0 2 8 3 6 4 4 5 2

GAME 1 – DICE DIFFERENCE Getting 0, 1, 2 is 24 chances out of 36 options Getting 3, 4, 5 is 12 chances out of 36 options