Skip to content
ENExplore Calculators

Arbitrage Betting Calculator

Work out arbitrage betting instantly with clear inputs, formula shown and shareable results.

About Arbitrage Betting Calculator

Stakes are split in proportion to each outcome's implied probability, so the return is identical whichever wins; an arbitrage exists only when the book total is below one. A negative profit here simply means the two prices still carry a combined margin, so there is no arbitrage and the bet should not be placed.

Formulas

Book total

book = 1 / odds A + 1 / odds B; an arbitrage exists when book < 1

Stake split

stake on A = total x (1 / odds A) / book total

Worked example

With the default values below, Arbitrage Betting Calculator returns Guaranteed profit of $3.73. Change any input above and every figure here is recalculated in your browser.

Inputs used

Best odds on outcome Aminimum 1
2.1
Best odds on outcome Bminimum 1
2.05
Total amount to stakeminimum 0.01
100

Results

Guaranteed profit
$3.73
Stake on outcome A
$49.40
Stake on outcome B
$50.60
Return on total stake
3.735%

Step by step

  1. 1Values used
  2. 2Book total
  3. 3Stake split
  4. 4Guaranteed profit= 3.73
  5. 5Stake on outcome A= 49.40
  6. 6Stake on outcome B= 50.60
  7. 7Return on total stake= 3.735

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is the Arbitrage Betting figure worked out?

book = 1 / odds A + 1 / odds B; an arbitrage exists when book < 1. Stakes are split in proportion to each outcome's implied probability, so the return is identical whichever wins; an arbitrage exists only when the book total is below one.

Why does this matter?

A negative profit here simply means the two prices still carry a combined margin, so there is no arbitrage and the bet should not be placed.

What do I need to enter?

Enter best odds on outcome a, best odds on outcome b, total amount to stake. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.

Related Calculators

Arbitrage Betting Calculator – Calculate Guaranteed profit