Build a round robin
This round robin calculator takes your selections and works out every parlay combination, the total stake and the return if they all land. Results update as you type.
What is a round robin in betting?
A round robin is not one bet. It is a set of smaller parlays covering every combination of the selections you pick. Choose four teams and play them "by 2s" and you are placing six separate two-team parlays, each for its own stake.
The appeal is that you do not need every selection to land. In that four-team example, getting three right still wins three of the six parlays. The cost is that your total outlay is six times your stake per parlay, not one.
Formula and worked example
Number of parlays = C(n, k) = n! / (k! x (n - k)!)
Total stake = number of parlays x stake per parlay
Each parlay's odds = the selected legs multiplied together
Four selections at 2.00, 1.50, 1.80 and 2.50, played by 2s at 10 a parlay, is six bets and 60 staked. The six parlays price at 3.00, 3.60, 5.00, 2.70, 3.75 and 4.50, so all four landing returns 225.50 for a profit of 165.50.
Get three of the four right and only the three parlays made up of winning legs pay. That is the trade the format is making: a smaller maximum in exchange for not needing a clean sweep.
Reading the result
Total stake is the number that surprises people. Five selections by 3s is ten parlays, so a 10 stake is a 100 bet. Check the ticket count before the return.
Every leg still carries the bookmaker's margin, and a round robin compounds it across every parlay it creates. The format spreads risk; it does not improve the price.
Limits and responsible use
The no-vig split is a proportional estimate. It does not model information, bias or execution risk. Settlement and void rules can also change the realised result. See Gambling Commission LCCP 4.2.6.
Set a spending limit before gambling and do not chase losses. Read GambleAware's advice and our responsible gambling guidance.
Related tools and guides
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Frequently asked questions
What is a no-vig calculator?
A no-vig calculator removes the bookmaker's margin from a market. Fair probability = implied probability divided by the total market probability. Convert that fair probability back to a price and you have the no-vig, or fair, odds.
How do you remove the vig from odds?
Convert every price in the market to an implied probability, add them together, then divide each one by that total so they sum to 100%. A -110 / -110 market implies 52.4% and 52.4%, which totals 104.8%. Dividing each by 104.8% gives 50% and 50%, or +100 / +100 in moneyline terms.
What is a normal hold percentage?
On a two-way moneyline, roughly 4% to 5% is standard, and sharper books run nearer 2%. Three-way football markets usually carry more because there are three prices to pad. The hold is the amount by which the market's implied probabilities exceed 100%.
Why are fair odds different from the odds I can bet?
Fair odds are what the market implies once the margin is stripped out. No bookmaker offers them, because the margin is how the book makes money. Fair odds are a reference point for judging whether a price you can actually bet is generous or short.
Does this work for three-way markets?
Yes. This calculator handles two to six outcomes, so a football market with home, draw and away devigs correctly. Most no-vig calculators only accept two outcomes because American sports rarely have a draw.
Do no-vig odds mean a bet is good?
No. Removing the margin tells you what the market believes once the book's cut is taken out. It does not tell you whether the market is right. A price that beats the fair odds is only value if your own view of the probability is better than the market's.
Frequently asked questions
What is a round robin in betting?
A round robin is a set of smaller parlays covering every combination of your selections. Four teams played by 2s is six separate two-team parlays, each staked individually, so you do not need every pick to land in order to win something.
How many bets is a round robin?
It is the number of combinations, C(n, k) = n! / (k! x (n - k)!). Three teams by 2s is 3 bets, four by 2s is 6, four by 3s is 4, and five by 3s is 10. Your total stake is that count multiplied by the stake per parlay.
How much does a round robin cost?
Number of parlays multiplied by your stake per parlay. This is the figure that catches people out: five selections by 3s at $10 a parlay is ten bets and $100 staked, not $10.
Is a round robin better than a parlay?
It is safer but not better value. You can lose a leg and still get paid, which a straight parlay cannot do, but you stake far more and the bookmaker's margin applies to every parlay the format creates.
What is a round robin bet example?
Take four teams at 2.00, 1.50, 1.80 and 2.50 by 2s at $10. That is six parlays and $60 staked. All four landing returns $225.50. Three of four landing pays only the parlays made entirely of winners.
Sources
- Gambling Commission, LCCP condition 4.2.6. Current code accessed 30 July 2026.
- GambleAware, Advice to consider if you're gambling. Accessed 30 July 2026.