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Blackjack in general - This is a general article on the game of blackjack. It includes a demonstration showing that blackjack probabilities change depending upon composition of undealt cards, among other factors.

Basic Strategy - This article explains what basic strategy is, the difference between composition dependent basic strategy and total dependent basic strategy and why total dependent strategy is generally used. It presents a simplified total dependent strategy called Generic Basic that is simpler to learn because it applies to a broader range of conditions while being very close in expected value to traditional total dependent strategy. The few minor exceptions to Generic Basic can be ignored at a small loss in EV or later added at player's convenience.

Betting - This is an introduction into determining how much to bet when a positive expected value opportunity exists. It includes a link to a very informative article on the consequences of various betting strategies.

Card Counting Theory - This article shows some of the things considered in developing a card counting system for those that may be interested.

Counting System Implementation - Explanation of why tags are used to simplify card counting and how to implement a tag based counting system. Explains the difference between balanced and unbalanced systems, how to true count a balanced system, and why unbalanced systems are sometimes used.

Insurance in Blackjack - Determining when and when not to take insurance in blackjack. Links to computed data for HiLo and KO counting systems for 1, 2, 4, 6, and 8 decks.

Possible Number of Shuffles in Blackjack - How many ways can a deck (shoe) be shuffled relative to blackjack?

A few words about variance..... - Basic variance

Simulation / Combinatorial Analysis

Card Counting Dynamics - The probability of drawing any rank from a freshly shuffled shoe is exactly the same value whether a player is side counting every rank and always knows what the exact shoe composition is or whether a player is using a counting system and only knows the running count of his counting system and a(n) (approximate) number of cards remaining to be dealt. As cards are randomly dealt and exposed the player that is keeping track of the exact shoe composition can always compute the exact probability of drawing any rank. The player that is using a counting system can also compute a probability of drawing any rank, but this calculation is based upon less than perfect information. This first shows how all random shoe compositions could be enumerated and used to compute values relative to any counting system. In order to do this a very large number of subset compositions would need to be processed. Second it shows that rank probabilities based only on a counting system can be computed and possibly be used to create a combinatorial analyzer that is based upon only a given counting system.

 

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