We investigate probabilistic properties of random triangles in the space of finite sequences with the Hamming metrics. As a triangle is understood any triple of points with distances between them. Probability measure is given by the classical way. In particular, it is shown that randomly chosen triangle is approximately equilateral with high probability. We also introduce a quantity that characterizes degree of “equilaterality” of triangles in the metric space in average.

中文翻译：

---

序列度量空间中的随机三角形

我们使用汉明度量研究有限序列空间中随机三角形的概率特性。三角形被理解为点之间的距离的任何三元组。概率测度由经典方式给出。特别是，随机选择的三角形是近似等边的，概率很高。我们还引入了一个量，它平均表征了度量空间中三角形的“等边性”程度。