Geodesic
Laws of large numbers in non-Archimedean probability theory
Izvestiya. Mathematics , Tome 64 (2000) no. 1, pp. 207-219

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We consider non-Kolmogorov probability models, namely, models with $p$-adic probabilities. We obtain an analogue of Bernoulli's theorem for symmetric schemes. 
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A. Yu. Khrennikov. Laws of large numbers in non-Archimedean probability theory. Izvestiya. Mathematics , Tome 64 (2000) no. 1, pp. 207-219. http://geodesic.mathdoc.fr/item/IM2_2000_64_1_a7/