Finding Blackjack's Optimal Strategy in Real-time and Player's Expected Win

dc.creatorSolowiej, Jarek
dc.date2004-12-15
dc.date.accessioned2026-07-07T05:15:20Z
dc.date.available2026-07-07T05:15:20Z
dc.descriptionWe describe the probability theory behind a casino game, blackjack, and the procedure to compute the optimal strategy for a deck of arbitrary cards and player's expected win given that he follows the optimal strategy. The exact blackjack probabilities are used, in contrast to approximate probabilities used by Baldwin et al. \cite{BCMM} or Monte Carlo methods. We distinguish between two probability measures $\mathbb{P}$ and $\mathbb{Q}$; $\mathbb{P}$ is used to compute dealer's probabilities and $\mathbb{Q}$ is used to compute player's expectations. The implementation is described in pseudo-C++. The program is fast enough to deal with any blackjack's hand in a matter of seconds.
dc.identifierhttps://arxiv.org/abs/math/0412311
dc.identifierhttp://arxiv.org/abs/math/0412311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73596
dc.subjectOptimization and Control
dc.titleFinding Blackjack's Optimal Strategy in Real-time and Player's Expected Win
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