How Many Dice Rolls Would It Take to Hit Your Favorite Kind of Number?

How Many Dice Rolls Would It Take to Hit Your Favorite Kind of Number?
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需要掷多少次骰子才能击中您最喜欢的数字?

DOI:
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发表时间:
2023
期刊:
Maple Transactions
影响因子:
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通讯作者:
D. Zeilberger
D. Zeilberger
中科院分区:
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文献类型:
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作者:
L. Martinez;D. Zeilberger

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Noga Alon和Yaakov Malinovsky最近研究了以下博弈:你从0开始,继续掷一个公平的标准骰子,并将结果相加,直到总和恰好是素数。我们从几个方面概括了这一点,说明了符号计算的力量,而不仅仅是数字计算。我们的结论与论战为什么美丽的严格误差估计的阿隆和Malinovsky是只有理论上的兴趣,解释为什么我们的内容,在我们的许多扩展,与非严格的,但实际上肯定的,估计。
Noga Alon and Yaakov Malinovsky recently studied the following game: you start at 0, and keep rolling a fair standard die, and add the outcomes until the sum happens to be prime. We generalize this in several ways, illustrating the power of symbolic, rather than merely numeric, computation. We conclude with polemics why the beautiful rigorous error estimate of Alon and Malinovsky is only of theoretical interest, explaining why we were content, in our numerous extensions, with non-rigorous, but practically-certain, estimates.
在 2.43 次掷骰子中击中素数(平均)
DOI: 10.1080/00031305.2023.2179664
发表时间: 2023
期刊: The American Statistician
影响因子: --
作者:
Alon, Noga;Malinovsky, Yaakov
通讯作者: Malinovsky, Yaakov