Round Robin Calculator: Parlays From Your Picks
A round robin splits your picks into every possible smaller parlay. Four picks in 2-leg parlays make six tickets. It costs more than one parlay, but you can still collect when one pick loses. The calculator shows the stake and the average return for each number of winning picks.
Key facts
- The number of k-leg parlays from n picks is the binomial coefficient n choose k (Wikipedia, Binomial coefficient).
- Total stake equals the number of tickets multiplied by the stake per ticket.
- A ticket pays only if every one of its legs wins.
A single parlay dies the moment one leg loses. A round robin spreads the same picks over many smaller parlays, so a miss doesn't wipe out everything. The cost is more tickets and a bigger total stake. This calculator counts the tickets and shows what typically comes back for each number of winners. It runs in your browser, sends nothing anywhere and forgets your numbers when you close the page.
Round robin calculator
Turn on JavaScript to use the calculator. The worked example below shows the same math by hand.
What you enter and what you get
You enter
- Pick 1 odds: American, decimal or fractional.
- Pick 2 odds: American, decimal or fractional odds.
- Pick 3 odds: American, decimal or fractional odds.
- Pick 4 odds (optional): American, decimal or fractional odds.
- Pick 5 odds (optional): American, decimal or fractional odds.
- Pick 6 odds (optional): American, decimal or fractional odds.
- Pick 7 odds (optional): American, decimal or fractional odds.
- Pick 8 odds (optional): American, decimal or fractional odds.
- Picks per parlay: From 2 up to one less than your number of picks.
- Stake per parlay ($): an amount in dollars.
You get
- Total staked
- Parlays in the round robin
- If n of 4 picks win (average)
- If fewer than 2 picks win
How the calculator works
- With n picks and parlays of k legs there are n choose k tickets.
- Total stake = tickets × stake per ticket.
- For each possible set of winners, add the payout of every ticket whose legs all won.
- Average those results by how many picks won to see the typical outcome.
A worked example
Four picks in 2-leg parlays at $10 each.
| Item | Result |
|---|---|
| Total staked | $60 |
| Parlays in the round robin | 6 of 2 picks |
| Total staked | $60 |
| If 2 of 4 picks win (average) | $39.2 back, -$20.8 result |
| If 3 of 4 picks win (average) | $117.6 back, $57.6 result |
| If 4 of 4 picks win (average) | $235.2 back, $175.2 result |
| If fewer than 2 picks win | -$60 |
What the calculator leaves out
- Averages hide which picks win. The real payout depends on which ones hit.
- Each ticket carries the sportsbook's margin, and the total stake is larger than one parlay.
- It doesn't model correlated picks or how the site settles a pushed leg.
How we checked it
Before it went on the page we checked it against cases worked by hand: four picks in two-pick parlays have to make six parlays, and all four winning has to pay all six. The calculator is also run against thousands of odd entries such as blanks, zeros and huge numbers, so a bad entry shows a plain prompt and never a wrong number. The worked example above comes from the same code the calculator runs.
At a sweepstakes sportsbook
Round robins and how they are graded can differ at a sweepstakes sportsbook, and some sites don't offer them. Check the site's rules, and keep in mind that wins are in the site's coins. For the legal side, see where sweepstakes sites can operate.
Betting math is not betting advice. Only play with money you can afford to lose, and if gambling stops being fun, call or text 1-800-GAMBLER.
Frequently asked questions
What is the point of a round robin?
It lets you win something when not every pick hits, at the cost of a bigger total stake.
How many tickets will I place?
n choose k: for example 4 picks in 2-leg parlays is 6 tickets, and 5 picks in 3-leg parlays is 10.
Is a round robin better than a single parlay?
It's a different shape of risk, not a better price. Each ticket still carries margin, so the expected cost is about the same per dollar staked.
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Sign up freeSources
- Binomial coefficient, Wikipedia (read 2026-10-05)
- Parlay, Wikipedia (read 2026-10-05)
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