How the round robin calculator works
A round robin takes a set of selections and places every possible accumulator of a chosen size from them, each as a separate bet. This calculator counts the combinations and the total stake, so you know what you are committing before you build one.
- Choose the number of selections, n, and the size of each accumulator, r.
- The number of bets is n choose r: n factorial divided by r factorial times (n minus r) factorial.
- Total stake is the number of bets multiplied by the stake per bet.
Worked example
Five selections, in trebles, at £5 per bet.
- 5 choose 3 = 10 trebles.
- Total stake £50.
A round robin softens the all-or-nothing shape of one accumulator, but every combination still carries the compounded margin of its legs.
Questions
- Why bet a round robin instead of one accumulator?
- Because some combinations pay even when one selection loses. You trade the biggest possible return for a higher chance of some return.
- How many bets is a round robin of eight in doubles?
- Eight choose two is 28 bets. The count grows quickly, which is why the total stake matters more than the per-bet stake.
- Is a round robin better value than singles?
- Not in expectation: every combination compounds the margin of its legs. It changes the shape of the outcomes, not the average.
