Example scenarios: system bet calculation
These are calculations built with example odds — not real matches or predictions. The numbers come from the same engine as the tool above.
Scenario 1
3/5 system, if one match loses
Odds 1.45, 1.70, 2.10, 1.95, 1.60 · 3/5 system · 5.00 TL per column
- Columns C(5, 3) = 10; total cost 50.00 TL.
- If all five had won, the return would have been 268.95 TL.
- Selection 4 (1.95) lost: the 6 columns containing it lose, and the remaining 4 columns return 98.52 TL.
- Net result 48.52 TL.
Scenario 2
1 banker + 2/3 system, if all win
Banker 1.35 · selections 1.80, 2.05, 1.75 · 2/3 system · 10.00 TL per column
- The banker does not add columns: C(3, 2) = 3 columns, cost 30.00 TL.
- The banker's odds are multiplied into every column; the first return needs 3 winning selections (banker included).
- If all win, the return is 140.78 TL, net 110.78 TL.
- Had the banker lost, all 3 columns would have lost.
Scenario 3
2/4 and 3/4 together, if two matches lose
Odds 1.55, 1.90, 2.30, 1.70 · 2/4 + 3/4 · 10.00 TL per column
- Columns 6 + 4 = 10; total cost 100.00 TL.
- If all four had won, the return would have been 459.26 TL.
- Selections 2 and 3 lost: only the 1 column containing the two winners wins and returns 26.35 TL.
- Net result -73.65 TL — a loss, because the cost exceeds the return.
What is a system bet?
A system bet splits your selections into several smaller accumulators — columns — instead of a single accumulator. For example, in a 2/4 system every pair of the four selections is a separate column, giving 6 columns. Even if one selection loses, the columns that do not contain it can still win. In return, the stake is multiplied by the number of columns, and depending on the odds of the winning columns the return can be lower than an accumulator's.
Source/Method: Methodology
How is a system bet calculated?
First, the number of non-banker selections (m) and the system value (k) are set; the number of columns is the combination C(m, k). The total cost is the number of columns times the stake per column. Each column's odds are the product of the odds of its selections and the bankers. The return is the sum, over the columns in which every selection won, of the column odds times the stake per column. In a 2/4 system with 10.00 TL per column, the cost is 60.00 TL.
With m non-banker selections and system value k, each column is all the banker selections plus one combination of k selections. A column's odds are the product of the odds in that column. The tool does not round odds in intermediate steps; only the TL amount is rounded to two decimal places.
Columns = Σ C(m, k) (for each ticked system) Total cost = columns × stake per column Column odds = banker odds × product of the k odds in the column Maximum return = Σ (column odds × stake per column) First return = smallest k + number of bankers must win
Example: 2/4 system, 10.00 TL per column
Odds 1.50, 2.00, 1.80, 2.20. C(4, 2) = 6 columns, total cost 60.00 TL. Column odds 1.50×2.00 = 3.00; 1.50×1.80 = 2.70; 1.50×2.20 = 3.30; 2.00×1.80 = 3.60; 2.00×2.20 = 4.40; 1.80×2.20 = 3.96. They add up to 20.96, so if all four selections win the return is 10.00 TL × 20.96 = 209.60 TL, net 149.60 TL.
If the 2.00 selection loses, the 3 columns containing it lose; the remaining 3 columns (2.70 + 3.30 + 3.96) return a total of 99.60 TL, a net result of 39.60 TL. The first return starts once at least 2 selections win; the lowest column (1.50×1.80) returns 27.00 TL.
If 2/4 and 3/4 are ticked together on the same four selections, you get 10 columns and a cost of 100.00 TL; if all win, the return is 468.20 TL.
Source/Method: Methodology
From calculation to analysis
The calculator only shows the maths of the slip; it does not tell you how reasonable the selections are. To compare a match's markets with past matches by opening odds, use Auto Analysis; for all analysis tools, use the Analysis Hub.
System types and number of columns
Values are calculated with C(m, k). The cost column is for 10.00 TL per column; banker selections do not change the number of columns.
| System | Columns | Cost | First return |
|---|---|---|---|
| 2/3 | 3 | 30.00 TL | 2 winning |
| 2/4 | 6 | 60.00 TL | 2 winning |
| 3/4 | 4 | 40.00 TL | 3 winning |
| 2/5 | 10 | 100.00 TL | 2 winning |
| 3/5 | 10 | 100.00 TL | 3 winning |
| 4/5 | 5 | 50.00 TL | 4 winning |
| 2/6 | 15 | 150.00 TL | 2 winning |
| 3/6 | 20 | 200.00 TL | 3 winning |
| 4/6 | 15 | 150.00 TL | 4 winning |
| 5/6 | 6 | 60.00 TL | 5 winning |
| 3/7 | 35 | 350.00 TL | 3 winning |
| 4/7 | 35 | 350.00 TL | 4 winning |
| 5/7 | 21 | 210.00 TL | 5 winning |
| 4/8 | 70 | 700.00 TL | 4 winning |
| 5/8 | 56 | 560.00 TL | 5 winning |
| 6/8 | 28 | 280.00 TL | 6 winning |
Responsible gambling
This calculator only does the maths; it never says any result will win and promises no winnings. A system bet spreads the risk but also raises the cost. Set your budget in advance; people under 18 may not bet. For details, see the Responsible Gambling page. See the iddaa.com rules for official rules and limits.
Frequently asked questions
How is the number of columns in a system bet calculated?
For m non-banker selections and system value k, the number of columns is the combination C(m, k). A 2/4 system is 6 columns, a 3/4 system 4 columns and a 3/5 system 10 columns. If you tick more than one system, the columns add up: 2/4 and 3/4 together make 10 columns.
How does a banker selection affect a system bet?
A banker selection appears in every column and does not add columns; the number of columns is calculated from the non-banker selections only. For example, a 2/3 system with 2 bankers and 3 selections is 3 columns. If a banker loses, every column loses.
How do you find the total cost of a system bet?
The total cost is the number of columns times the stake per column. A 2/4 system with 10.00 TL per column is 6 columns, costing 60.00 TL.
How many matches must win in a system bet?
For a first return, as many non-banker selections as the smallest system value — plus every banker — must win. In a 2/4 system at least 2 selections must win; then only the single column containing those two wins, and the return may be below the column cost.
How many selections can I enter in the calculator?
The tool handles up to 16 selections and 10,000 columns in total. For example, a 4/8 system with 8 selections is 70 columns; if the ticked systems exceed the limit, the tool shows an error and asks you to reduce the number of systems or selections.
Does the calculator apply iddaa's official limits?
No. The tool only does the maths of columns, cost and return; see the iddaa.com rules for official rules and limits such as maximum winnings or minimum stake. A calculation is not a promise of winnings.