When to stop? You play a game that involves rollinga die. You can roll as many times as you want, and yourscore is the total for all the rolls. But . . . if you roll a6 your score is 0 and your turn is over. What might be agood strategy for a game like this?a) One of your opponents decides to roll 4 times, thenstop (hoping not to get the dreaded 6 before then).Use a simulation to estimate his average score.b) Another opponent decides to roll until she gets at least 12 points, then stop. Use a simulation to esti-mate her average score. c) Propose another strategy that you would use to playthis game. Using your strategy, simulate several turns.Do you think you would beat the two opponents?

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When to stop? You play a game that involves rolling
a die. You can roll as many times as you want, and your
score is the total for all the rolls. But . . . if you roll a
6 your score is 0 and your turn is over. What might be a
good strategy for a game like this?
a) One of your opponents decides to roll 4 times, then
stop (hoping not to get the dreaded 6 before then).
Use a simulation to estimate his average score.
b) Another opponent decides to roll until she gets at
least 12 points, then stop. Use a simulation to esti-
mate her average score.
c) Propose another strategy that you would use to play
this game. Using your strategy, simulate several turns.
Do you think you would beat the two opponents?
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