Three Way Arbitrage Calculator

Enter three odds and total stake. See equal stakes, implied chances, fees, and profit fast. Find three arbitrage gaps before placing smarter bets today.

Calculator Form

Use 0.01 for cents, 1 for whole units.

Example Data Table

Market Outcome 1 Outcome 2 Outcome 3 Total Stake Arbitrage Sum Estimated Profit
Football Match Home Win at 2.10 Draw at 3.60 Away Win at 4.20 100.00 99.21% 0.79 before rounding
Sample Market Alpha at 2.25 Beta at 3.40 Gamma at 3.90 200.00 99.51% 0.98 before rounding

Formula Used

The calculator first adjusts each decimal odd for commission and slippage.

Effective Odd = Decimal Odd × (1 - Fee %) × (1 - Slippage %)

Then it converts each effective odd into an implied probability.

Implied Probability = 1 ÷ Effective Odd

The arbitrage percentage is the sum of all three implied probabilities.

Arbitrage Percentage = (P1 + P2 + P3) × 100

If the percentage is below 100%, an unrounded arbitrage gap exists.

Stake for Outcome = Total Stake × Outcome Probability ÷ Total Probability Sum

The profit estimate uses the lowest rounded return minus the rounded total stake.

How To Use This Calculator

  1. Enter names for the three outcomes.
  2. Add decimal odds for each outcome.
  3. Enter the total stake you want to divide.
  4. Add commission if any platform charges a fee.
  5. Add slippage when live odds may move quickly.
  6. Set your rounding increment for practical stake placement.
  7. Press calculate and review the result above the form.
  8. Export the result using CSV or PDF when needed.

What Is a Three Way Arbitrage Calculator?

A three way arbitrage calculator compares three possible outcomes in one market. Common examples include home win, draw, and away win. The calculator turns each decimal odd into an implied probability. It then adds those probabilities together. If the total is below one hundred percent, the book prices may allow a locked return.

Why This Calculator Matters

Three outcome markets are harder to judge by eye. Small gaps can disappear after fees, exchange commission, or odds movement. This tool includes commission and slippage inputs, so the final estimate is more realistic. It also gives suggested stakes for each side. Those stakes aim to create the same return, no matter which outcome wins.

Understanding the Statistics

The key statistic is the implied probability sum. Each odd has an implied chance equal to one divided by the effective odd. Effective odds are reduced by fees and slippage. The combined percentage shows whether the market is overpriced or underpriced. A value under one hundred percent means positive expected coverage before practical limits.

Practical Use

Start with live decimal odds from reliable sources. Enter your total stake and any fee percentage. Add a small slippage value when odds may change before you place all bets. Press calculate and review the arbitrage status. The suggested stakes show how much to place on each outcome. The rounded table helps when a bookmaker only accepts practical stake amounts.

Risk Notes

Arbitrage is not risk free in practice. Accounts can be limited. Bets can be rejected. Odds can change between placements. Markets can settle differently across platforms. Always check rules, currency, and event details before using real money. Keep records with the CSV and PDF options. Compare the example table before starting. Use smaller stakes while testing your process.

Good Records Improve Decisions

Use the same method for every scan. Record the odds, time, stake split, and platform names. A repeatable record helps you find reliable sources and weak markets. It also shows whether fees are too high for your strategy. Over many checks, the data can reveal useful patterns. Treat the output as a planning aid, not a guarantee. Check final tickets yourself before accepting any calculated stake recommendation online.

FAQs

What is three way arbitrage?

It is a pricing gap across three outcomes. If the implied probability sum is below 100%, balanced stakes may lock a profit before practical issues.

Which odds format does this tool use?

This calculator uses decimal odds. Convert fractional or American odds before entering values for the most accurate result.

Why does commission matter?

Commission lowers the usable payout. A market can look profitable before fees, yet become unprofitable after charges are included.

What is odds slippage?

Slippage estimates odds movement before all bets are placed. It helps create a more cautious result when prices change quickly.

Why are raw and rounded stakes different?

Raw stakes are mathematically exact. Rounded stakes match practical betting limits, but they can reduce or remove the expected profit.

Is arbitrage always risk free?

No. Bets may be rejected, odds may move, accounts may be limited, and platforms may settle markets using different rules.

What does arbitrage percentage mean?

It is the total implied probability from all three adjusted odds. A value under 100% means the unrounded model has an edge.

Can I save my result?

Yes. Use the CSV button for spreadsheet records. Use the PDF button for a simple printable report.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.