On generating functions in solving probabilistic problems
Matematičeskoe obrazovanie, Tome 111 (2024) no. 3, pp. 10-16.

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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.
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O. P. Vinogradov. On generating functions in solving probabilistic problems. Matematičeskoe obrazovanie, Tome 111 (2024) no. 3, pp. 10-16. http://geodesic.mathdoc.fr/item/MO_2024_111_3_a1/

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[2] V. Feller, Vvedenie v teoriyu veroyatnostei i ee prilozheniya, v. 1, Mir, M., 1984, 289–290

[3] R. Grekhem, D. Knut, O. Patashnik, Konkretnaya matematika. Osnovanie informatiki, Mir, M., 1998, 329–331