How System Bets Build Combinations and Pay Out

A system bet places separate stakes on several combinations of selections. In a fixed-size k/n system, the ticket contains every distinct group of k selections drawn from n selections. A losing selection makes only the combinations containing it lose; the others may still produce a gross return.

However, a gross return does not necessarily mean a net profit: the payout may be less than the total stake. A system is a ticket structure, not a staking progression or a guaranteed strategy. For an introduction to the term, see what a system bet is. This guide explains how the ticket works, from choosing combinations to checking settlement.

What happens from choosing selections to settlement?

You add selections, choose the combination size, check how the stake is entered and confirm the ticket. Once the selections have been settled, the ticket’s gross return is the sum of the returns from its original combinations.

The practical sequence is:

1. Add your selections. Check the odds for each before confirming.
2. Choose the combination size or sizes. A 2/3 system, for example, contains doubles only. A format with several combination sizes works differently.
3. Check whether the entered stake applies to each combination or the whole ticket.
4. Check the accepted odds, combination list and total stake, then confirm the bet.
5. After settlement, check every original combination, add its gross return to the others and subtract the full original total stake.

Field names, permitted system sizes and available features vary between operators. There is no universal minimum or maximum number of selections, guarantee of in-play availability or blanket rule covering all combinations of selections from the same event.

The BETCITY rules, including the system example on pages 14–15, describe systems through their component combinations and the sum of their returns. The document was checked on 12 October 2026; the effective date of that edition has not been established.

Separate settlement does not make the combinations statistically independent: several may contain the same selections. Nor does it mean that money will necessarily be paid separately or immediately after the final whistle.

How do n selections become combinations of k?

The notation k/n means that the system includes every distinct combination of k selections from the n selected. Order does not matter: AB and BA are the same bet.

The number of combinations is:

C(n, k) = n! / k! × (n − k)!

The “!” symbol means factorial: for example, 3! = 3 × 2 × 1, while 0! = 1.

Bet3000’s explanation of 2/3 and 3/4 systems, updated on 18 February 2022, illustrates these two sizes. It explains the mechanics, rather than a universal current interface.

Excerpt from the original Russian-language BETCITY table showing a component double with two selections at odds of 3.6 and 1.9

An extract from the original Russian-language table in BETCITY’s official rules, page 14. In its separate 2/4 example, odds of 3.6 and 1.9 produce 6.84. The edition’s effective date is unconfirmed. These are not our selections A, B and C or current sports prices.

If w selections win, with no void selections or banker, the number of winning combinations is C(w, k). If w < k, there are no winning combinations. In a 2/4 system, for example, two winning selections produce one winning double; three produce three.

This rule applies to a system with one fixed combination size. Named formats can include several sizes and, in some cases, singles.

How do fixed-size systems differ from named formats?

A fixed-size system contains combinations of one size, whereas a named format may include several sizes. The same number of selections can therefore produce very different numbers of bets.

Full-cover formats cover multiple combination sizes; they are not the same as fixed k/n systems. Check whether singles are included rather than assuming that every named format includes them.

The standard contents of these named formats are listed in William Hill’s guide to bet types, checked on 12 October 2026. It also discusses restrictions on related selections. Whether a particular combination is allowed must be checked with the operator, not inferred from the combination formula alone.

The chart below shows total stake, not the number of bets, at exactly 5 units per combination. A 2/3 system costs 15 units, for example, while a Yankee costs 55.

How much does a system bet cost?

The total stake is the unit stake multiplied by the number of combinations. If you start with a budget for the whole ticket, divide that budget by the number of combinations to calculate an equal unit stake.

Total stake = unit stake × number of combinations

Unit stake = total stake ÷ number of combinations

For example, a 2/4 system contains six bets:

• 10 per combination means a total stake of 60.
• 10 for the whole ticket means a calculated unit stake of 10 ÷ 6 ≈ 1.67.

In the second example, 1.67 is rounded, not a guarantee of how an operator will allocate the budget. Minimum stakes and rounding rules may affect the permitted amount. Do not round every component stake upwards and inadvertently exceed your budget: check the final total before confirming.

Compare formats using the same total stake, not the same unit stake. Otherwise, the larger format simply receives more of your money.

How is the payout calculated? A complete 2/3 example

Our hypothetical system costs $30, and its gross return depends on which double wins. Gross return includes the winning combination’s stake; net profit is calculated only after subtracting the full original $30.

We use decimal odds:

• selection A: 2.00;
• selection B: 1.50;
• selection C: 1.70;
• system: 2/3;
• unit stake: $10;
• total stake: $30.

This is an illustrative cash model, not a real sports ticket. It excludes void selections, bankers, bonuses, taxes and payout limits. Amounts are shown to two decimal places; the calculations below do not require intermediate rounding.

For a winning accumulator, multiply its selection odds, then multiply the result by its unit stake. For AB: 2.00 × 1.50 × $10 = $30.00. If any selection in a combination loses, that combination’s gross return is zero in this model.

With exactly two winning selections, only one double wins. The identity and odds of that double matter, not just the count of “two out of three”: AB breaks even, AC produces a net profit and BC produces a loss.

For this equal-stake system with exactly two winning selections:

• combined odds below 3 mean a loss;
• combined odds equal to 3 mean break-even;
• combined odds above 3 mean a net profit.

This is arithmetic conditional on a particular result, not an estimate of its probability or evidence of a profitable strategy. Higher odds do not, by themselves, create an advantage. See the system bet calculation guide for more detail on the formulas.

How do you reproduce the example in the calculator?

In the round robin calculator, enter the three odds, enable doubles only and enter 10 per parlay, not 30. This produces the example’s $30 total stake.

Round robin calculator inputs showing decimal odds of 2.00, 1.50 and 1.70, By 2s enabled and Stake per parlay set to 10

The local English calculator interface captured with the shown inputs for the 2/3 example, not a check of bet placement with a live bookmaker.

1. Select Decimal as the odds format.
2. Keep exactly three selections and enter 2.00, 1.50 and 1.70.
3. Enable only By 2s. Disable singles and three-selection combinations.
4. Enter 10 in Stake per parlay. Do not enter 30 here: that is the whole-ticket budget, not the unit stake.
5. Enable Pro if you want to inspect the individual doubles.

Check the results:

• total stake: $30;
• if all selections win, gross return: $89.50; net profit: $59.50;
• if exactly two selections win, gross return: $25.50–$34.00; net profit: −$4.50 to +$4.00.

The last range gives the minimum and maximum across the possible winning doubles. It is not expected return, a confidence interval or a probability of winning. It does not assign probabilities to the possible results or weight their payouts, so it cannot tell you how likely any payout is or what you should expect to earn.

The detailed rows show each double’s potential gross return if it wins, not a settled ticket with some selections already lost.

Three potential double payouts in Pro mode: AB 30.00, AC 34.00 and BC 25.50

Results cropped to the three potential double payouts, without the full scenario summary. The calculator displays dollars; this is not currency conversion.

This calculator has no controls for individual selection results and does not model void selections, bankers, probabilities, each-way bets, payout limits, bonuses or taxes. It is a calculation tool, not a forecasting tool.

How do you check a specific result in the simulator?

The simulator below lets you mark each selection as winning or losing and check the system calculation. In our example, A and B winning while C loses produces a gross return of 30 units and break-even.

To reproduce it:

1. Choose the 2/3 system.
2. Set the unit stake to 10.
3. Enter the odds: A — 2, B — 1.5, C — 1.7.
4. Mark A and B as winners and C as a loser.
5. Check: 3 combinations, total stake 30, gross return 30, net profit 0.
6. Change C to a winner. Gross return becomes 89.50 and net profit 59.50.

The simulator displays no currency symbol: its amounts are units of your chosen stake. If each unit is one dollar in our cash model, those figures correspond to $30, $89.50 and $59.50 respectively. Neither the simulator nor the calculator converts currencies.

The simulator models wins and losses only. It does not account for void selections, bankers, an operator’s specific settlement rules or result probabilities, and it does not forecast outcomes.

What changes when a selection is void?

A void selection does not necessarily make a combination lose. If the applicable rules assign it odds of 1.00, substitute 1.00 in every original combination containing it. Do not rebuild the system or redistribute its stakes.

This treatment appears in the FON rules, clause 4.6; the page’s latest changes are dated 9 October 2026. It is an operator-specific rule, not a universal requirement for every bookmaker or product.

For the examples below, retain the original 2/3 system, odds of A 2.00, B 1.50 and C 1.70, and $10 on each of the three original combinations. We assume each void selection is assigned odds of 1.00 and no other adjustments apply.

In the first row, AC pays $10 × 2.00 × 1.00, and BC pays $10 × 1.50 × 1.00. In the second row, B’s loss still makes AB and BC lose. AC produces a gross return even though only one non-void selection won.

The statement “a 2/3 system needs at least two winning selections” therefore cannot be applied unchanged when selections are void. A void selection is not a losing selection, nor does it necessarily trigger a separate refund of its share of the stake.

Void and refund treatment depends on the market and product. A postponed event does not automatically mean the bet is void. Check the original combinations and settled ticket, not just the number of remaining selections. The tools above cannot reproduce this void-selection calculation.

How does a banker change the system?

A banker is a mandatory selection in every component combination, not a safe prediction. If it loses, every combination required to contain it loses.

Betano’s official banker explanation, updated on 25 September 2026, states that a losing banker makes the whole ticket lose.

Consider a hypothetical 2/4 system in which A is mandatory and counts towards the two-selection combination size:

• an ordinary 2/4 contains AB, AC, AD, BC, BD and CD: 6 combinations;
• making A mandatory leaves AB, AC and AD: 3 combinations;
• at $10 per combination, the total stake is $30;
• if A loses, all three combinations lose.

An operator may label the combination size with the banker counted separately. Do not rely on the system name alone: inspect the actual combination list. Our calculator has no banker field.

How do singles, a system and an accumulator compare at the same budget?

At a $30 total stake, the formats produce different payouts, and none is best in every scenario. The system sits between singles and the accumulator in these two examples, but that is not a universal rule about profitability.

Using the same odds of 2.00, 1.50 and 1.70, with no void selections, compare:

• three singles at $10 each;
• a 2/3 system at $10 per double;
• one treble with a $30 stake.

A larger payout in one scenario establishes neither the format’s profitability nor the probability of making a profit. See the system bet versus accumulator comparison for a fuller explanation.

Multiple combinations spread the budget across bets, but often repeat the same selections. One losing selection can affect several combinations; a losing banker affects the entire ticket. If you keep the unit stake unchanged, expanding the format increases the total stake.

Set a spending limit you can afford to lose, and do not increase it to recover losses. A system does not remove the risk of losing the full total stake.

What should you check before confirming and after settlement?

Before confirming, check exactly which bets you are buying and their total cost. After settlement, check the gross return from every original combination, then subtract the full original total stake.

Before confirming, review:

• Stake entry: does the amount apply to each combination or the whole ticket?
• Total stake: does it account for the combination count, rounding and minimum stakes?
• Combination sizes and singles: have you enabled only what you intend to buy?
• Accepted odds: do they match the confirmed ticket?
• Original combination list: especially if you use a banker or several combination sizes.
• Applicable rules: including restrictions on combinations, void selections, markets and maximum payouts.

After settlement:

1. Find the original combination list and the stake on each combination.
2. Check every selection’s status and any applicable void rules.
3. Check each combination’s gross return.
4. Add all gross returns.
5. Subtract the full original total stake to find the net profit or loss.

If the ticket is still awaiting settlement, do not treat a potential payout as money already received. Statuses, payment timing and settlement procedures depend on the operator. The essential check is not simply how many selections won, but which original combinations won, what they returned and how much the whole ticket cost.