掷硬币的概率真的是50% - 50%吗?第2部分:动态模型与反弹

V. Pletser
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引用次数: 1

摘要

在本文的第一部分,我们考虑了几种理论模型,一个静态模型和四个无反弹的动态模型,投掷均匀硬币的边缘着陆,证明正面或反面的概率小于50%,取决于初始投掷条件,硬币的几何形状,硬币和着陆表面的条件。对于本文第二部分的主题——带有反弹的动态模型,我们发现,在通常的初速度条件和适当的表面条件下,一枚50欧分硬币从正常高度抛掷到其边缘的概率大约是千分之一。
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Is The Probability of Tossing a Coin Really 50–50%? Part 2: Dynamic Model with Rebounds
In the first part of this paper, we considered several theoretical models, a static and four dynamic models without rebounds, of the throw of a fair coin landing on its edge, to demonstrate that the probability of heads or tails is less than 50%, depending on the initial toss conditions, the coin geometry and conditions of the coin and landing surfaces. For the dynamic model with rebounds that is the subject of this second part of the paper, it is found that the probability that a 50 Euro cent coin thrown from a normal height with common initial velocity conditions and appropriate surface conditions will end up on its edge is in the order of one against several thousand.
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