On the fundamental theorem of card counting, with application to the game of trente et quarante

Authors
Ethier, S. N. Levin, David A.
Citation
N. Ethier, S. et A. Levin, David, On the fundamental theorem of card counting, with application to the game of trente et quarante, Advances in applied probability , 37(1), 2005, pp. 90-107
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
37
Issue
1
Year of publication
2005
Pages
90 - 107
Database
ACNP
SICI code
Abstract
A simplified proof of Thorp and Walden's fundamental theorem of card counting is presented, and a corresponding central limit theorem is established. Results are applied to the casino game of trente et quarante, which was studied by Poison and De Morgan.