Abstract : In this paper a new generating procedure of a random chord is presented. This problem has its roots in the Bertrand's paradox. { A study of the limit behaviour of its maximum length and the rate of convergence is conducted.} In addition, moments of record values of random chord length are obtained for this case, as well as other cases of solutions of Bertrand's paradox.
Keywords : Bertrand's paradox, new solution, records, rate of convergence
