Round Robin Calculator

Instead of one all-or-nothing parlay, a round robin spreads your action across every combination of a given size. You collect on any combination where all its legs win. One or two legs missing does not kill all of your tickets, just the ones containing the losers.

Round robins make sense when you have moderate confidence in several legs but want coverage if one misses. A 5-team by-4 round robin has 5 combinations - you profit if 4 or all 5 legs win, and salvage some combinations if exactly 4 hit.

The cost is compounded vig on every combination. With 10 parlays at $1 each you risk $10 total, and each $1 parlay carries the same compounded hold as a regular parlay of that size. Spreading across combinations does not reduce the house edge - you are paying it on every ticket.

Combinations = C(n, k) = n! / (k! x (n-k)!). Five games by threes: 5! / (3! x 2!) = 10. Six games by fours: 6! / (4! x 2!) = 15. The count grows fast with more legs.

Exactly mode: pays only combinations where exactly parlay-size legs in that combination won. If you have a 5-team by-4 round robin and 4 teams win, only the 1 combination containing all 4 winners pays. The other 4 combinations each had one of their legs lose.

At Least mode: a combination pays if at least the parlay size of legs within it win. In a 5-team by-4 with all 5 winning in At Least mode, all 5 combinations pay because each one has all 4 of its legs win. At Least captures surplus wins that Exactly misses.

Stake Per Parlay is the amount risked on each individual combination, not your total. Total Risk multiplies that by the combination count. If you have 10 combinations and stake $5 per parlay, your total risk is $50.

Toggle Outcome per leg between Win, Loss, and Push to simulate different scenarios. Push legs are typically removed from their containing combinations by most books, reducing those combinations to shorter parlays.

C(5,4) = 5 combinations. Stake Per Parlay = $1. Total Risk = $5. All five legs at -110 (decimal 1.909). A 4-leg parlay at 1.909^4 = 13.30 decimal. Profit per winning parlay = $12.30. Max Win if all 5 legs win in At Least mode: 5 x $12.30 = $61.50.

Now simulate with one leg as a Loss. In At Least mode, any combination containing the losing leg does not pay. With 5 legs and 5 four-leg combinations, each combination contains exactly 4 of the 5 legs. Any given leg appears in C(4,3) = 4 combinations.

One loss eliminates 4 of the 5 combinations, leaving 1 winning ticket. Simulated Result: 1 x $12.30 - $5 total risk = +$7.30 net. Compare to a 5-leg straight parlay: one loss means -$5 total with no partial salvage.

Underestimating total risk. Six games by threes is 20 combinations - $10 per parlay is $200 total risk, not $10. Always check Total Risk before confirming the ticket.

Confusing Exactly and At Least settlement. Some books settle round robins on Exactly mode, others use At Least. Verify your book's rules before building.

Correlated legs within combinations. If your five legs include two on the same game, the risk from those legs losing together is higher than independent legs. The calculator treats all legs as independent.