Blackjack Probability Analysis Tool User Guide

1. Software Overview

This software is a Blackjack analysis tool that optimizes game strategy and improves win rate through precise probability calculations.

Main features include:

2. Interface & Operation Instructions

2.1 Main Interface

Figure 1: Software Main Interface Layout

(1) Card Entry Area

As shown in Area A, manually enter the codes for dealt cards. Code rules: numbers 1-13 represent ♠A-♠K, 14-26 represent ♥A-♥K, 27-39 represent ♦A-♦K, 40-52 represent ♣A-♣K.

The entry area is divided into Dealer and Player sections. Enter cards in actual dealing order. After entering the first 3 cards, click the "Bust Detection" button to calculate bust probability and expected value for dealer and player. Based on results, the player decides whether to hit. After completing a full hand entry, click "Update". This records all cards of the hand into the dealt cards table and immediately recalculates all metrics and probabilities, providing strong reference for the next hand.

(2) Deck Management Area

As shown in Area B. Real-time statistics and display of dealt card counts by suit and rank, facilitating analysis of future probabilities.

(3) Hand Type Probability Area

As shown in Area C. Columns 2 & 3 show initial probabilities and average hands to appear for each hand type with 8 decks (rounded). Columns 3 & 4 show current probabilities and average hands to appear. Current probability > initial probability is shown in green, otherwise red.

(4) Metrics Calculation Area

As shown in Area D. Integrates Hi-Lo, Hi-OptII, OmegaII counting systems. Counting rules for these systems are in Section 4. True count > 1 is green, otherwise red.

(5) Bust Probability Area

As shown in Area E. Shows dealer and player bust probabilities; expected value for standing and hitting with comparison. EV > 0 is favorable, EV < 0 is unfavorable. If both standing and hitting EVs are negative, both are unfavorable. But by comparison, if Hitting EV - Standing EV > 0, choose to Hit; otherwise Stand. This is the long-term optimal strategy under overall unfavorable conditions.

(6) Round History Area

As shown in Area F & G. Displays historical records of each hand in the current shoe, including complete dealer/player card sequences, occurrence of pairs, three of a kind, flushes, straights, and 3-card sums of 19-21 points, and win/loss based on points under optimal play.

(7) Others

Below Area E: shows number of decks, cards dealt, simulation count, etc.

2.2 Membership Page

The software only supports DogeCoin cryptocurrency payment. Choose suitable membership. Use any crypto wallet or transfer directly from an exchange to the Doge receiving address. Ensure you select the DogeCoin mainnet. After transfer, copy the transaction hash from your wallet/exchange into the "Transaction Hash" text box on the Membership page, click "Verify & Activate". If first verification fails, wait a few minutes and try again.

Membership Activation Diagram (hash.png)

2.3 Settings Page

Before use, set the actual number of decks used on the Settings page. Default is 8 decks. This is crucial; incorrect setting leads to inaccurate calculations or errors. The software uses precise mathematical probability calculations. Only the player hitting EV uses computer simulation (default 100,000 iterations). Recommend setting to at least 10,000 iterations. The difference between 10k and 1M simulations is minimal. No need to set too high, to avoid wasting resources or causing long waits.

2.4 Other Pages

Other pages include personal information, tools, settings, etc.

3. Basic Operation Flow

1. Activate Membership. On the Membership page, activate the desired membership type.
2. Initialize Deck. Default is 8 decks (416 cards), adjustable in Settings.
3. Enter Dealt Cards. After entering the first 3 cards, click "Bust Detection" to view probabilities and expected values for standing/hitting. Based on EV, the software suggests an action (e.g., "Hit") and expected gain. The player decides. After completing a full hand entry, click "Update" to view other probabilities. Combined with history, determine game strategy. The history area displays each hand record.
   Important: Enter in order. Do not leave empty cells, or submission will fail.
   Tip: For simplified Blackjack variants (e.g., without 9s), you can pre-enter all 9s as dealt cards, making the software applicable.
4. Start New Round. When the game shuffles (new shoe begins), click "Reset Shoe" to start fresh recording and calculation.

4. Card Counting System Rules

4.1 Hi-Lo System Rules

• Low Cards (2-6): +1
• Neutral Cards (7-9): 0
• High Cards (10-A): -1

Running Count (RC): Continuously add/subtract values as cards appear (e.g., 2 -> +1, K -> -1).

True Count (TC) = Running Count ÷ Remaining Decks (software uses fractional decks)

4.2 Hi-Opt II System Rules

• Secondary High Cards (2,3,6,7): +1
• High Cards (4,5): +2
• Neutral Cards (8,9,A): 0
• Low Cards (10,J,Q,K): -2

Running Count (RC): Accumulate RC per Hi-Opt II rules for each card dealt.

4.3 Omega II System Rules

Uses Unbalanced Counting, suitable for various game rules, especially multi-deck (6-8 decks).

• Rank (2, 3, 7): +1
• Rank (4, 5, 6): +2
• Rank (8, A): 0
• Rank (9): -1
• Rank (10,J,Q,K): -2

Omega II uses Unbalanced Counting. The RC already accounts for deck depth, so no adjustment is needed. No need to calculate remaining decks.

Use Running Count (RC) directly for betting and strategy adjustments.

5. Installation & Startup

5.1 System Requirements

5.2 Installation

Run the executable directly:

Download BlackjackAnalyzer.exe (Windows), BlackjackAnalyzer.app (macOS), or BlackjackAnalyzer.bin (Ubuntu) according to your OS.

6. Technical Support & Feedback