Some Remarks on a Direct Calculation of Probabilities in Urn Schemes

The paper considers urn schemes in which several urns can be involved. Simplified formulas are proposed

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  • [1] Bingham N. H., Fluctuation Theory for the Ehrenfest Urn. Advances in Applied Probability. 23(1991), no. 3, 598–611.[2] Johnson N. L. and Kotz S., Urn models and their application. John Wiley and Sons Inc, New York, USA, 1985.[3] Mahmoud H. M., Pólya urn models. CRC Press, Boca Raton, USA, 2009.