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Simulating a Dice Game The game of 21 can be played with an ordinary 6-sided die. Competitors each roll the die repeatedly, trying to

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Simulating a Dice Game The game of 21 can be played with an ordinary 6-sided die. Competitors each roll the die repeatedly, trying to get the highest total less than or equal to 21. If your total exceeds 21, you lose. Suppose your opponent has rolled an 18. Your task is to try to beat them by getting more than 18 points without going over 21. How rolls do you expect to make and what are your chances of winning? a) How will you simulate each roll of the die? b) How will you combine components to model a trial? What is the response variable? c) How would you use these random digits to run trials? Show your method clearly for two trials. 91129 58757 69274 92380 82464 33089

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