System Bet Calculators: 10 Named Systems and K-of-N Returns
The structure can produce a return when some selections lose, but it does not improve the quality of the selections or remove the price margin.
Interactive system-bet calculator
Calculate components, total stake and returns
Choose a common system, enter the stake per component and decimal odds, then mark which selections win. Returns exclude voids, deductions, commission and special settlement rules.
3 doubles, 1 treble. 3 of 3 selections marked as winners, producing 4 winning components.
- Components
- 4
- Total stake
- 4.00 units
- Gross return
- 33.50 units
- Profit / loss
- 29.50 units
Gross return includes returned stakes from winning components. Profit or loss subtracts the total stake across every component.
Use the result as an arithmetic check, then compare it with the accepted ticket. The calculator treats every marked winner as settled at the entered decimal price. It does not model voids, dead heats, deductions, boosted returns or operator-specific rounding.
Calculate an exact K-of-N system
Choose how many selections are on the ticket and how many must appear in each component. For System 2/3, choose three selections and two legs per component.
System 2/3: 3 doubles. 3 winners produce 3 winning components.
- Components
- 3
- Total stake
- 3.00 units
- Gross return
- 18.50 units
- Profit / loss
- 15.50 units
This mode contains only the selected K-leg component size. It excludes voids, deductions, commission and operator-specific settlement rules.
How many bets are in common system bets?
| Name | Selections | Components | Singles included? |
|---|---|---|---|
| Double | 2 | 1 | No |
| Trixie | 3 | 4 | No |
| Patent | 3 | 7 | Yes |
| Yankee | 4 | 11 | No |
| Lucky 15 | 4 | 15 | Yes |
| Canadian | 5 | 26 | No |
| Lucky 31 | 5 | 31 | Yes |
| Heinz | 6 | 57 | No |
| Lucky 63 | 6 | 63 | Yes |
| Super Heinz | 7 | 120 | No |
| Goliath | 8 | 247 | No |
- Selections
- 2
- Components
- 1
- Singles
- No
- Selections
- 3
- Components
- 4
- Singles
- No
- Selections
- 3
- Components
- 7
- Singles
- Yes
- Selections
- 4
- Components
- 11
- Singles
- No
- Selections
- 4
- Components
- 15
- Singles
- Yes
- Selections
- 5
- Components
- 26
- Singles
- No
- Selections
- 5
- Components
- 31
- Singles
- Yes
- Selections
- 6
- Components
- 57
- Singles
- No
- Selections
- 6
- Components
- 63
- Singles
- Yes
- Selections
- 7
- Components
- 120
- Singles
- No
- Selections
- 8
- Components
- 247
- Singles
- No
A Trixie contains three doubles and one treble. A Patent adds three singles. A Yankee contains six doubles, four trebles and one fourfold.
The table uses common sportsbook definitions documented in Betfair's bet-type guide. Check the operator ticket because product names and available components can differ.
How is the total stake calculated?
total stake = unit stake × component count
Examples:
- 2 units per Trixie component:
2 × 4 = 8units total; - 2 units per Patent component:
2 × 7 = 14units total; - 1 unit per Yankee component:
1 × 11 = 11units total; - 0.50 units per Goliath component:
0.50 × 247 = 123.50units total.
Why are system returns calculated component by component?
Each component has its own combined price and result. For decimal odds, the gross return of a winning component is:
component return = component stake × product of winning leg odds
Add the gross returns from every winning component. Losing components return zero. Void selections, dead heats, deductions and operator rules can alter the calculation.
A "single bet calculator" is the same basic formula with one selection:
gross return = stake × decimal odds
For a conventional winning fixed-odds single:
gross profit = stake × (decimal odds - 1)
See all bet types explained for market and receipt definitions.
Worked Trixie example
Assume three selections at decimal odds:
- A: 2.00
- B: 2.50
- C: 3.00
Use a one-unit component stake. The four components are:
- A × B double: return
1 × 2.00 × 2.50 = 5.00; - A × C double: return
1 × 2.00 × 3.00 = 6.00; - B × C double: return
1 × 2.50 × 3.00 = 7.50; - A × B × C treble: return
1 × 2.00 × 2.50 × 3.00 = 15.00.
The total stake is four units. If A and B win while C loses, only the A × B double returns, so the gross return is five units and gross profit is one unit. If all three win, the gross return is 33.50 units and gross profit is 29.50 units.
This example ignores deductions and special settlement terms.
What happens when a selection is void?
Operator settlement rules commonly remove a void selection from a standard multiple by treating it at decimal odds 1.00. That can turn a treble into a double or a double into a single. But promotions, same-game products and special markets can use different rules.
Do not delete duplicate-looking components in your own calculation until the operator's void rule is applied. The accepted ticket determines which components existed.
System-bet calculator checklist
- List each selection and accepted decimal price.
- Expand the named system into every component.
- Multiply unit stake by component count.
- Calculate each component independently.
- Apply voids, deductions and commission from the actual rules.
- Add only confirmed component returns.
- Separate total return from profit.
- Keep rounding consistent with the operator receipt.
A calculator can check arithmetic. It cannot make the selections more likely to win.
Sources and update record
This guide was checked on 27 July 2026 against current Betfair and bet365 bet-type documentation. Use the accepted receipt and operator rules for an actual settlement.
Primary sources mapped to this guide
Each source below is retained with the claims it supports. Operator sources describe published terms, not independent first-hand performance.
- Betfair bet types guide
- Trixie, Patent, Yankee, Canadian, Heinz and Goliath bets contain defined combinations
- System-bet names describe the component singles, doubles and higher multiples
- bet365 bet settlement guide
- A multiple normally requires every non-void selection in that component to win
- Void-selection treatment can change the remaining multiple
Frequently asked questions
How many bets are in a Trixie?
Four: three doubles and one treble.
How many bets are in a Patent?
Seven: three singles, three doubles and one treble.
Does a system bet guarantee a return if one selection wins?
Only a system containing singles can return from one winning selection, and that return may still be below the total stake.
Why is my total stake larger than the unit stake?
The unit stake is applied to every component bet.