Let ABC be a triangle. Choose points A′, B′ and C′ independently on side segments BC, CA and AB respectively with a uniform distribution. For a point Z in the plane, let p(Z) denote the probability that Z is contained in the triangle enclosed by lines AA′, BB′ and CC′. For which interior point Z in triangle ABC is p(Z) maximised? probabilityPlane GeometryCevas Theoremalgebra