GEOMETRIC PROBABILITY CALCULATION FOR A TRIANGLE

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Submitted: 2025-02-04; Published: 2025-02-04

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Abstract

In the paper, using a relationship between probability P(L(ω)⊂D) that a random segment of length l in Rn having a common point with body D entirely lying in D and the covariogram of D, we obtain the explicit form of P(L(ω)⊂D) for any triangle on the plane.