Some remarks on the direct calculation of Probabilities in Urn Schemes
Azam A.Imomov, Yorqin Khodjaev

TL;DR
This paper introduces simplified formulas for directly calculating probabilities in complex urn schemes involving multiple urns, avoiding combinatorial methods.
Contribution
It presents novel simplified formulas enabling direct probability calculations in multi-urn schemes, improving computational efficiency.
Findings
Simplified formulas for multi-urn probability calculations
Elimination of combinatorial complexity in probability computation
Enhanced efficiency in probabilistic analysis of urn schemes
Abstract
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.
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Taxonomy
TopicsProbability and Statistical Research · Advanced Database Systems and Queries
