▌ Calculator · round robin · published 2026-10-15
Many picks.
Many parlays.
One total cost.
Enter three to eight picks, choose by 2s, by 3s or more, and see every parlay the round robin creates. You get the count, the total you are staking, and the return.
Then mark a pick as lost or pushed. The parlays that never held it keep paying, and the calculator shows exactly how much.
Calculator
Live · client-side · zero tracking▌ Your picks · 4 selections
Each parlay gets this stake. The total cost is the stake times the number of parlays.
Picks — odds in any format (-110, 2.50, 5/2)
Leave every pick on Win to see the best case. Set Lose or Push to see what the round robin actually pays after the games.
Parlay sizes — 10 parlays
"By 2s" bundles every pair of picks into its own two-leg parlay. At least one size stays selected.
▌ Round robin payout
Total return at your results
$789.02
Net result
+$689.02
Total staked
$100.00
Parlays still paying
10 / 10
Best case (all win)
$789.02
| Size | Parlays | Staked | Returns |
|---|---|---|---|
| By 2s | 6 | $60.00 | $315.83 |
| By 3s | 4 | $40.00 | $473.18 |
Every parlay settles on its own: one lost pick kills only the parlays that contain it. A pushed pick drops out and the parlay reprices on the rest. Not every book settles pushes this way — check your sportsbook's house rules.
▌ Derivation · round robin
The math behind a round robin
A round robin is a set of ordinary parlays. For n picks and a parlay size of k, the sportsbook
builds every group of k picks:
parlays = n! / (k! × (n − k)!).
Each parlay pays like any parlay: stake × D₁ × D₂ × … × Dₖ,
where each D is a pick's decimal odds. The total cost is
stake × number of parlays.
A three-pick example
Take three picks at -110, by 2s, with $10 on each parlay. That is 3 parlays and
$30.00 staked. Each parlay returns
10 × 1.909 × 1.909 = $36.45.
If all three picks win, every parlay cashes and the round robin returns $109.34, a profit of $79.34.
If one pick loses, only the pair that skipped it survives. You collect $36.45 and finish up $6.45. If two picks lose, no pair survives and the full $30.00 is gone.
Pushes and voided picks
A pushed pick drops out of each parlay that held it, and the parlay is repriced on what is left. A two-team parlay with a push becomes a straight bet on the other pick. A parlay in which every pick pushes returns its stake. Not every sportsbook handles this the same way, so check the house rules for your book.
What a round robin does not do
It does not remove the sportsbook's margin. Every parlay carries that margin on each of its legs, and a round robin buys several parlays. You are spreading one opinion across more tickets, which lowers the odds of a total miss. To see the margin on a single leg, use the no-vig calculator. For one big ticket instead of many small ones, use the parlay calculator.
▌ Reference
How many parlays does each size create?
The count depends only on the number of picks and the parlay size. The last column is every size from 2s to one less than your picks, bet together.
| Picks | By 2s | By 3s | By 4s | By 5s | By 6s | By 7s | All sizes |
|---|---|---|---|---|---|---|---|
| 3 | 3 | · | · | · | · | · | 3 |
| 4 | 6 | 4 | · | · | · | · | 10 |
| 5 | 10 | 10 | 5 | · | · | · | 25 |
| 6 | 15 | 20 | 15 | 6 | · | · | 56 |
| 7 | 21 | 35 | 35 | 21 | 7 | · | 119 |
| 8 | 28 | 56 | 70 | 56 | 28 | 8 | 246 |
What a miss costs you
Four picks, every price even money (+100), $10 on each parlay, by 2s and 3s: 10 parlays and $100 staked. The table shows the result as picks start to fail.
| Picks won | Parlays paying | Return | Net |
|---|---|---|---|
| 4 of 4 | 10 of 10 | $560.00 | +$460.00 |
| 3 of 4 | 4 of 10 | $200.00 | +$100.00 |
| 2 of 4 | 1 of 10 | $40.00 | −$60.00 |
| 1 of 4 | 0 of 10 | $0.00 | −$100.00 |
| 0 of 4 | 0 of 10 | $0.00 | −$100.00 |
Three winners out of four still leave you ahead in this setup, which is the appeal of a round robin. Two winners do not. For a single-bet return, use the payout calculator; to turn a price into another format, the odds converter.
▌ FAQ
Common questions
What is a round robin bet?
How many bets are in a round robin?
How much does a round robin cost?
What happens if one pick loses?
What happens if a pick is a push?
Is a round robin better than a single parlay?
How is a round robin different from a reverse bet?
How many picks can a round robin have?
▌ Related calculators
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/ — methodology
Want the rest of the math?
Parlay pricing, odds conversion and the push-handling assumptions used on this page are documented on the methodology page.