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Full-Text Articles in Physical Sciences and Mathematics

Snackjack: A Toy Model Of Blackjack, Stewart N. Ethier, Jiyeon Lee Aug 2020

Snackjack: A Toy Model Of Blackjack, Stewart N. Ethier, Jiyeon Lee

UNLV Gaming Research & Review Journal

Snackjack is a highly simplified version of blackjack that was proposed by Ethier (2010) and given its name by Epstein (2013). The eight-card deck comprises two aces, two deuces, and four treys, with aces having value either 1 or 4, and deuces and treys having values 2 and 3, respectively. The target total is 7 (vs. 21 in blackjack), and ace-trey is a natural. The dealer stands on 6 and 7, including soft totals, and otherwise hits. The player can stand, hit, double, or split, but split pairs receive only one card per paircard (like split aces in blackjack), and …


An Analysis Of The Disadvantage To Players Of Multiple Decks In The Game Of 21, Leslie M. Golden Jun 2016

An Analysis Of The Disadvantage To Players Of Multiple Decks In The Game Of 21, Leslie M. Golden

International Conference on Gambling & Risk Taking

Players of blackjack recognize that their probabilities of winning are reduced by the casino use of multiple decks in the deck pack as a counter-measure to blackjack card counting systems. When playing blackjack with a deck pack composed of multiple 52-card decks compared to when playing in single-deck or double-deck games, players experience frequency, magnitude, and depth effects: 1) The deck becomes favorable less frequently at all depths, 2) when the deck does becomes favorable, the magnitude of the advantage is not as great, 3) all decks are favorable infrequently until a significant portion of the deck has been dealt …


Probability Models For Blackjack Poker, Charlie H. Cooke Jan 2010

Probability Models For Blackjack Poker, Charlie H. Cooke

Mathematics & Statistics Faculty Publications

For simplicity in calculation, previous analyses of blackjack poker have employed models which employ sampling with replacement. in order to assess what degree of error this may induce, the purpose here is to calculate results for a typical hand where sampling without replacement is employed. It is seen that significant error can result when long runs are required to complete the hand. The hand examined is itself of particular interest, as regards both its outstanding expectations of high yield and certain implications for pair splitting of two nines against the dealer's seven. Theoretical and experimental methods are used in order …


Why The Player Never Wins In The Long Run At La Blackjack, Arthur T. Benjamin, Michael Lauzon '00, Christopher Moore '00 Jul 1999

Why The Player Never Wins In The Long Run At La Blackjack, Arthur T. Benjamin, Michael Lauzon '00, Christopher Moore '00

All HMC Faculty Publications and Research

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