Home What's New Gambling Online About Blackjack, Composition-Dependent Strategy and Blackjack Software Triple Pocket Hold’em Video Poker About Us Blackjack Calculation using Composition-Dependent Strategy iGaming Pal calculation for Classic Blackjack from Microgaming At the begging of each game (after placing bets) the player gets 2 cards and the dealer gets 1 from a 52- card deck. So the number of all possible cases is 66300*. But we don't have to calculate each of the 66300* situations - for example card suit has no impact at all in blackjack. We therefore reduce 66300* cases to a smaller number of logical cases. Each logical case has its own Weight (repeating frequency). Example: If the dealer has 8 and the player has two 5, then the frequency is 24. After determining all starting cases we calculate the probability for each case and for every action (hit, stand, double and split). Hit-action: For every possible card to hit, we recursively repeat the probability calculation. In the end, we get for our 8/5;5 example the following numbers: Microgaming Classic Blackjack Blackjack Microgaming All Aces Video Poker Microgaming Triple Pocket Hold’em Poker Gold Blackjack Software using Composition-Dependent Strategy information, odds calculation and software for online casino games About Blackjack Blackjack Strategies iGaming Pal Concept Composition-Dependent Strategy iGaming Blackjack Software, FREE Download Comparing Composition-Dependent Strategy with Basic Strategy This two blackjack strategies are different, so our strategy cannot be directly compared with Basic Strategy. Example: (Players Hand / Dealer's card = Decision) Basic strategy : 12 / 3 = Hit Our strategy : 10, 2 / 3 = Hit Our strategy : 9, 3 / 3 = Hit Our strategy : 8, 4 / 3 = Stand Our strategy : 7, 5 / 3 = Stand But if we calculate the average probability/decision/action for all 2-card cases with sum 12 (hard-hand), then we get also Hit as the best play. So we compared all average 2-card cases with the Basic strategy table and get exactly the same results. Our 2-card Basic Strategy approximation is here  Composition-Dependent Strategy The values in the first row are dealer's winning chances expressed in percentages (%). The values in the second row are chances for push (push means no one wins), The player's winning chances are given in the third row. The sum of these 3 values per decision/action is always 100.00% The final game winning chance is shown in row 4= row3-row1 and for double and split row4= (row3- row1)*2. In our example Double Down is the best strategy. In the end - The house edge is the sum of the best final game winning chances divided by the sum of all bets (from all starting cases). As a result we get the house edge of 0.0809573009677919%. Explanation for the Final Game Winning Chance (4th. row values from our example above): If you play a lot and 8/5,5 comes many, many times and your bet is always 1$ - then the numbers above (for double) say: On an average of 100 (8/5,5) games you will lose in approximately 38 games 2$ per game. In approximately 7 games you will get your money back; and you will win 2$ per game in approximately 54 or 55 games.  On an average of 100 (8/5,5) games your win will be close to this calculated value: 38.3396*(-2$) + 7.1766*0$ + 54.4838*2$ = 32.2885$ * Number of all starting cases is 66300 = 52C2 * 50, C is for combination. * Final Game Winning Chance = EV = Expected Value Statistical Simulation The most reliable and ultimate proof of a concept is always the statistical simulation; so we have simulated millions of games. In game-simulation the dealer and the player get random cards, the software calculates the best play and we record if the player wins or loses. As the number of the simulated games grows, the similarity of simulated house edge and the calculated house edge must grow too if our calculation is correct. So after 46.080.000 game simulations with 1$ bet per game we get the sum of all bets of 49,911,988.00$ (by double and split the bet doubles) and the loss of 39,227.50$. This means the simulated house edge is 0,078593%. This number is close enough to the calculated house edge of 0.080957% to show, that our calculation and our blackjack strategy are reliable and correct. Composition-Dependent Strategy As the name says, this blackjack strategy shows the best play based on every composition of the player's cards. The composition-dependent strategy is based upon the exact cards dealt to the player rather than just the total of the player's hand. Analyzing every possible game situation, this blackjack strategy gives players the biggest possible win chance. In other words, the smallest possible house edge. The fewer the decks the more advantageous the composition-dependent strategy is - if compared to the basic strategy. By using the composition-dependent strategy when playing certain single-deck blackjack games, the player can cut in half the house edge (comparing to the basic strategy). Usability of the Composition-Dependent Strategy There are three ways to use any blackjack strategy: To memorize all strategy cases, to use a strategy table or to use a software. Despite the superiority of the composition-dependent strategy it is very difficult to memorize thousands of game play decisions/cases. On the other hand, the basic strategy has less then 300 cases. It is possible to use the composition-dependent strategy with strategy tables, but it is exhausting and slow. The best way is, to use a software that calculates the best play for every game situation. Try our free Blackjack software using Composition-Dependent Strategy here. iGaming Blackjack FREE Software Play Blackjack using the best blackjack strategy and reduce house edge to just 0.080957% iGaming Blackjack Software
Composition-Dependent Strategy