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Mathematical Education, 2024, Issue 3(111), Pages 10–16 (Mi mo880)  
Students and teachers of secondary school

On generating functions in solving probabilistic problems

O. P. Vinogradov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Using an example of two probabilistic problems, a method for finding generating functions will be shown. From the obtained explicit expressions for the generating functions, explicit expressions for the desired probabilities will be obtained. The first problem is related to Fibonacci numbers, and the second one is related to some combinatorial equalities.
Document Type: Popular science or education materials
UDC: 519.21
Language: Russian
Citation: O. P. Vinogradov, “On generating functions in solving probabilistic problems”, Math. Ed., 2024, no. 3(111), 10–16
Citation in format AMSBIB
\Bibitem{Vin24}
\by O.~P.~Vinogradov
\paper On generating functions in solving probabilistic problems
\jour Math. Ed.
\yr 2024
\issue 3(111)
\pages 10--16
\mathnet{http://mi.mathnet.ru/mo880}
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