Two-Way Arbitrage Example
Decimal odds: 2.10 / 2.10
Recommended stakes: $50.00 + $50.00
Payout: $105.00 on either outcome
$5.00 profit · 5.00% ROI
See the full calculation → THE NUMBERS, SIMPLIFIED
Free Arbitrage Betting Calculator
Find the balance across every outcome.
Calculate stakes, potential profit and ROI for two-way and three-way markets.
✓ 100% Freeϟ Instant ResultsNo account needed
Arbitrage calculator
Market outcomes
Odds format
Your total budget across all outcomes. CAD is a display unit; no currency conversion.
Decimal return including your original stake.
Optional outcome / sportsbook label
Decimal return including your original stake.
Optional outcome / sportsbook label
All calculations stay in your browser.
YOUR ALLOCATION, EXPLAINEDCAD · CENT ALLOCATION
✓ Positive profit after rounding
Worst-case net profitCA$5.00
Minimum across every covered outcome
Worst-case ROI5.00%
Based on the recommended stakes
- Theoretical arbitrage opportunity
- Yes · below 100%
- Total stake
- CA$100.00
- Theoretical profit margin · 100% − P
- 4.7619%
- Theoretical ROI · (1/P − 1) × 100
- 5.0000%
Combined implied probability95.2381%
0%100% break-even150%+
Below 100%: a theoretical arbitrage exists. Check the practical net result after cent allocation.
| Outcome | Stake | Payout | Net profit |
|---|---|---|---|
| Outcome 1 | CA$50.00 | CA$105.00 | CA$5.00 |
| Outcome 2 | CA$50.00 | CA$105.00 | CA$5.00 |
Stakes are optimized in whole cents to maximize the minimum payout. Payouts are stake × odds, displayed to the nearest cent; sportsbooks may settle differently. A positive result smaller than half a cent can display as CA$0.00.
Assumes all bets are accepted at unchanged odds, the outcomes cover exactly the same complete market, and normal settlement without fees or restrictions. Theoretical arbitrage does not guarantee real-world profit.
✓ Exact arithmetic · optimized cent allocationCalculator inputs stay in your browser.
FROM PRICES TO A CLEARER PICTURE
Read the calculator guide ↗How to Use the Arbitrage Calculator
- 01
Choose your market
Select two or three mutually exclusive outcomes that cover the same complete market.
- 02
Select your odds format
Use decimal, American or fractional prices. Switching formats keeps the same underlying value.
- 03
Enter odds and budget
Add every outcome price and your total stake. Optionally label the outcomes.
- 04
Review the full result
Compare theoretical opportunity with cent allocations, payouts and the worst-case net profit.
CHECKED, STEP BY STEP
Arbitrage Betting Examples
Equal coverage. Different prices.
See how the numbers fit together.
Three-Way Arbitrage Example
Decimal odds: 2.50 / 3.50 / 3.50
Recommended stakes: $41.18 + $29.41 + $29.41
Payout: $102.95 / $102.935 / $102.935
$2.935 minimum profit before display rounding
See the full calculation →What Is an Arbitrage Betting Calculator?
An arbitrage betting calculator compares the prices offered for every possible outcome in a market. It checks whether those prices permit a positive theoretical return across all outcomes and calculates how to divide a total stake. It is a mathematical tool, not a way to verify that a sportsbook will accept or settle a bet.
How Does Arbitrage Betting Work?
Sportsbooks can offer different prices because of their models, market updates and customer activity. Taking the best available price for each outcome can sometimes bring the sum of implied probabilities below 100%. Sports betting arbitrage depends on covering the same complete market: a regulation-time result and a result including overtime are different markets.
Learn how sports betting arbitrage works →Understanding Arbitrage Percentage
For decimal odds d, implied probability is 1/d. Add this for every outcome to obtain P. Below 100% suggests theoretical arbitrage; exactly 100% is theoretical break-even; above 100% produces a theoretical loss. The quoted profit margin is 100 × (1 − P), measured against payout. Theoretical stake ROI is 100 × (1/P − 1), measured against money staked. These are different denominators: at P = 95.2381%, margin is 4.7619% and ROI is 5%. Neither is an estimate of an outcome’s true chance or a prediction of betting skill.
Risks and Limitations
Odds can change before every bet is accepted. A sportsbook may reject a bet, limit a stake or require a minimum amount. Outcomes must cover exactly the same market; settlement rules, overtime treatment and voided bets can differ. Fees, currency conversion and stake restrictions can erase a small profit. This calculator does not model those adjustments. Theoretical arbitrage is not a guarantee of real-world profit.
How Arbitrage Betting Works
Understand sports betting arbitrage, complete market coverage, implied probability and the practical risks behind theoretical returns.
Explore guide →Arbitrage Betting Examples
Verified two-way and three-way arbitrage examples with stake allocations, payouts, cent rounding and losing market comparisons.
Explore guide →Arbitrage Calculator Guide
Learn how to enter odds, use American or fractional formats, read ROI and understand optimized cent-rounded arbitrage stakes.
Explore guide →A FEW GOOD QUESTIONS
Arbitrage, explained.
Practical answers before you interpret a result.
What is an arbitrage bet?
It is a set of bets on every mutually exclusive outcome of the same market, using prices that permit a positive theoretical return regardless of which outcome wins.
How do I know if an arbitrage opportunity exists?
Convert every price to decimal odds and add their reciprocals. A total strictly below 1 (100%) indicates theoretical arbitrage. You must also check the rounded stake results and real-world restrictions.
Can an arbitrage calculator guarantee profit?
No. Calculations assume every bet is accepted at the entered price and settled under compatible rules. Changed odds, limits, rejected or voided bets and fees can remove the apparent profit.
What is the difference between two-way and three-way arbitrage?
Two-way covers exactly two exhaustive outcomes. Three-way covers exactly three, often home win, draw and away win in regulation time. A draw cannot be ignored when it is a possible market outcome.
How are arbitrage stakes calculated?
The ideal stake is total stake × (1 / outcome decimal odds) / combined implied probability. The calculator then allocates whole cents to maximize the smallest outcome payout while preserving the exact total stake.
Can I use American odds?
Yes. Select American and enter prices such as +150 or -110. The calculator converts these to decimal odds internally. +150, 2.50 and 3/2 represent the same price.
What happens when the combined implied probability exceeds 100%?
There is no theoretical arbitrage. You can still see the allocation, but balancing the payouts produces a theoretical loss rather than a positive return.
Why can the actual profit differ from the theoretical profit?
Whole-cent stake allocation can unbalance payouts. Sportsbook payout rounding, price changes, fees, settlement rules and stake limits can change the amount further. The practical result here uses the final allocated stakes.