Round robin calculator
Split 3 to 8 picks into every parlay of 2, 3 or more legs: how many bets, the total cost, the payout if everything hits, and EV when you add a fair win % per pick.
Inputs
Result
updates as you typeRun this math on every line, automatically
Price each pick against the market on the +EV finder before you combine them.
How it works
A round robin bets every parlay of a given size that can be made from your picks. With n picks taken k at a time there are C(n, k) = n! ÷ (k! (n − k)!) parlays, each staked the same:
bets = C(n, k) · cost = bets × stake
each parlay pays stake × the product of its legs' decimal odds when all of its legs win
with fair chances pi: EV of a parlay = Π pi × Π di − 1 (independent picks)
Losing one pick only kills the parlays that contain it, so a round robin trades a smaller top payout for some return when most picks win. It does not change the math of each parlay: if the picks are −EV, every parlay is too.
Worked example
Four picks (−110, +120, +150, −105) by 2s at $10 per parlay:
Bets = C(4, 2) = 6 parlays · cost = 6 × $10 = $60.00
If all four win, every parlay pays: total return $273.76
If three win, the 3 parlays without the loser pay; if two win, only the one parlay of those two does
| Parlay | Odds | Pays on $10 |
|---|---|---|
| −110 + +120 | +320 | $42.00 |
| −110 + +150 | +377 | $47.73 |
| −110 + −105 | +273 | $37.27 |
| +120 + +150 | +450 | $55.00 |
| +120 + −105 | +330 | $42.95 |
| +150 + −105 | +388 | $48.81 |
Things to watch
- Many small bets add up. 6 picks by 3s is 20 parlays: twenty stakes.
- Vig compounds in every parlay. A round robin of −110 picks carries the parlay margin many times over.
- Same-game picks are correlated. The EV here assumes independent picks.