IF12:00 9A8BA= VPN @ 49% K TODD + 9.2 Analysing a Culminating Probability Project Investigate: Analysing a Culminating Probability Project Kaelyn and Emma presented the following information about Triple Your Chances, Double Your Counters in a culminating project report. See section 9.1 for the game instructions. Read Kaelyn and Emma's report. Then, complete the questions to critique and analyse it. Consider how you might analyse your game of chance and what elements you would include in your report. Record your ideas Triple Your Chances, Double Your Counters: Student Analysis of the Game Theoretical Distribution of the Sum of Three Dice There are 216 possible sums when three dice are rolled at once. 1 2 3 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 8 9 10 11 12 13 2 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 8 9 10 11 12 13 9 10 11 12 13 14 3 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 8 9 10 11 12 13 9 10 11 12 13 14 10 11 12 13 14 15 4 6 7 8 9 10 11 7 8 9 10 11 12 8 9 10 11 12 13 9 10 11 12 13 14 10|11 12 13|14 15|11|12|13|14|15|16 5 7 8 9 10 11 12 8 9 10 11 12 13 9 10 11 12 13 14 10 11 12 13 14 15 11 12 13|14 15 16 12 13|14 15|16 17 6 8 9 10 11 12 13 9 10 11 12 13 14 10 11 12|13|14 15 11|12 13|14 15|16|12|13|14|15|16|17|13|14|15|16|17|18 VI - <00 vpn k g tod the expected sum of three dice in possible probability counter payout sums pix x . p to player this game on any given roll is w .s which means we expect average will be shown table j- so should pay about hy_ counters players for each round play. assume one placed would collect from and keep an n or suggesting twit very at players. notice pattern. have least theoretical outcomes chance occurring because there only way make with dice. can made ways they highest occurring. vin used outcome help us decide how many out when a landed sum. that are highly likely fewer compared less likely.if12:00 c todo experimental data: sample die rolls rounds play kaelyn emma collected data. shows first highlight recorded their data actual number balance chosen by won roller rolled loss win calculating our played times occurred calculate total played. intal vs. vi too based matches factor after playing had counters. paid every game. conclusions graph more often than most often. since these not surprise. however occur probability. distribution show zero also surprise has lowest suggests even if little probabilities become similar reality was fair as significant advantage winning could alter structure provide greater payouts allow put example grouping ratio. group vid those were rolled. what key elements analysis tree diagram represent does fully examine ofwinning pros cons seem large enough might happen refer page instructions create random generator graphing calculator download app. simulate using compare results plays do you title triple your chances double describe why been think chose did agree offered piayerfor charts graphs clear accurate representation calculations added changed clearly explain>
