Geometric probability calculation for a triangle (Երկրաչափական հավանականության հաշվարկը եռանկյան համար)

Abstract

Let P(L(ω) ⊂ D) is the probability that a random segment of length l in R n having a common point with body D entirely lies in D. In the paper, using a relationship between P(L(ω) ⊂ D) and covariogram of D the explicit form of P(L(ω) ⊂ D) for arbitrary triangle on the plane is obtained.