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# (b) The semester is over and at last Alice is back home for the summer break. Since she has worked so hard throughout these past few months (as all...

I don't understand how to set up this problem without a finite amount of die rolls

(b) The semester is over and at last Alice is back home for the summer break. Since she has worked
so hard throughout these past few months (as all of you have), her family decided to give her some
rest while everybody else is busy preparing for their upcoming trip. The moment she lies down on
the sofa something sharp pokes her head: a die. Due to boredom and the probabilistic reﬂexes she
has recently developed, Alice starts to roll the die, at each roll recording the value that came up
and adding it to the values already recorded. After Alice rolls the die many many times, what is
the approximate probability that her number is divisible by 13? Justify your answer.

Let n = number of times Alice rolled the dice For any 13 consecutive positive integers, there is exactly one integer that is... View the full answer

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