Theory of Probability &Its Applications, Volume 67, Issue 1, Page 158-160, May 2022.
Bertrand's Paradox is classical in the theory of probability. Its point of contention is the existence of three distinct solutions to a seemingly identical required probability, with each solution obtained through a different method. This paper depicts yet another solution, a novel approach originating from diametric projections of radial vectors. The chords are drawn by joining the head of a radial vector to a fixed diametrical extremity, corresponding to all points between the two diametrical extremities.

中文翻译：

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伯特兰悖论的新解

概率论及其应用，第 67 卷，第 1 期，第 158-160 页，2022 年 5 月
。伯特兰悖论是概率论中的经典。它的争论点是对于看似相同的所需概率存在三个不同的解决方案，每个解决方案都通过不同的方法获得。本文描述了另一种解决方案，一种源自径向矢量的直径投影的新方法。弦是通过将径向矢量的头部连接到固定的直径末端来绘制的，对应于两个直径末端之间的所有点。