Blackjack Calculator
The JavaScript program on this page enables the computation
of the optimal strategy during a game of blackjack. The computation is depending
on the cards that are used up before.
It is a well
known fact that the average of the player is changing depending
on the mixture of the remaining cards. 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 several 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.
The computation is an approximation
based on the assumpation that the actual probability distribution of remaining
cards is fixed during the following game. All results are shown
depending on the first card of the bank and in total.
Blackjack calclulator
This page is 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).
Literature:
Beat the Dealer: A Winning Strategy for the Game of Twenty-One, Edward O. Thorp, 1966, ISBN 0394703103
Ken Uston: Ken Uston on Blackjack,
Stanford Wong Professional Blackjack
Arnold Snyder: Blackbelt in Blackjack
Peter Griffin: The Theory of Blackjack