| | | |

## Some Remarks on a Direct Calculation of Probabilities in Urn Schemes

#### Azam IMOMOV [1] , Yorqin T. KHODJAEV [2]

The paper considers urn schemes in which several urns can be involved. Simplified formulas are proposed
that allow direct calculation of probabilities without the use of elements combinatorics.
urn, urn schemes, binomial coefficients
• [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.
Primary Language en Engineering Articles Orcid: 0000-0003-1082-0144Author: Azam IMOMOV (Primary Author)Country: Uzbekistan Author: Yorqin T. KHODJAEV Institution: Karshi State UniversityCountry: Uzbekistan Publication Date : March 20, 2020
 Bibtex @research article { mathenot644261, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {177 - 184}, doi = {10.36753/mathenot.644261}, title = {Some Remarks on a Direct Calculation of Probabilities in Urn Schemes}, key = {cite}, author = {IMOMOV, Azam and KHODJAEV, Yorqin T.} } APA IMOMOV, A , KHODJAEV, Y . (2020). Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Mathematical Sciences and Applications E-Notes , 8 (1) , 177-184 . DOI: 10.36753/mathenot.644261 MLA IMOMOV, A , KHODJAEV, Y . "Some Remarks on a Direct Calculation of Probabilities in Urn Schemes". Mathematical Sciences and Applications E-Notes 8 (2020 ): 177-184 Chicago IMOMOV, A , KHODJAEV, Y . "Some Remarks on a Direct Calculation of Probabilities in Urn Schemes". Mathematical Sciences and Applications E-Notes 8 (2020 ): 177-184 RIS TY - JOUR T1 - Some Remarks on a Direct Calculation of Probabilities in Urn Schemes AU - Azam IMOMOV , Yorqin T. KHODJAEV Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.644261 DO - 10.36753/mathenot.644261 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 177 EP - 184 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.644261 UR - https://doi.org/10.36753/mathenot.644261 Y2 - 2020 ER - EndNote %0 Mathematical Sciences and Applications E-Notes Some Remarks on a Direct Calculation of Probabilities in Urn Schemes %A Azam IMOMOV , Yorqin T. KHODJAEV %T Some Remarks on a Direct Calculation of Probabilities in Urn Schemes %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.644261 %U 10.36753/mathenot.644261 ISNAD IMOMOV, Azam , KHODJAEV, Yorqin T. . "Some Remarks on a Direct Calculation of Probabilities in Urn Schemes". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 177-184 . https://doi.org/10.36753/mathenot.644261 AMA IMOMOV A , KHODJAEV Y . Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Math. Sci. Appl. E-Notes. 2020; 8(1): 177-184. Vancouver IMOMOV A , KHODJAEV Y . Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 184-177.

Authors of the Article
[2]