Deutsche Version des Black-Jack-Rechners
It is a well
known fact that the expected gain of the player is changing depending
on the mixture of the remaining cards (see e.g. Wikipedia). So card counting can be used
to get a favourable strategy against the bank. The mathematical forumlas
are based on the actual probabilities of the different card values. To calculate an optimal
strategy please begin with an input of the actual game situation: Click
on the button "Decks:..." to increase the number of used
card decks. After this use the green buttons of the 4th row to
decrease the remaining cards (the red
buttons of the 2nd row can be used for undoing). Also select the
rule variant. Finally start the computation by clicking on the button "Start".
The computation is an approximation
based on the assumption that the actual probability distribution of remaining
cards is fixed during the following game. All results are shown
depending on the dealer's up card and in total.
Remarks: The values and information provided on this page are distributed without any warranty.
Please notice that the use of electronical devices is prohibited in most casinos. This page is only a demonstration of the power of mathematics
in blackjack shown first by Edward Thorp 1960 and described in chapter 17 ("Blackjack: A Las Vegas fairy tale") of my book
Luck, Logic and White Lies: The mathematics of games
(preface, content). (C) Jörg Bewersdorff, , www.bewersdorff-online.de, 2002, comments are welcome.