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System Bet Calculator(2026)
Calculate Trixie, Yankee, Lucky 15, Heinz and 6 more system bets in one place. Live math, shareable URLs, betslip export. Built by an iGaming engineer who actually places these bets.

Quick presets
One click to load a system type with sample odds
Each bet in the system uses this stake
Enter all selections to see the calculation
How a system bet works
A system bet is multiple accumulators built from a single set of selections
Pick your selections
You choose 3 to 8 outcomes — football matches, tennis games, horse races, anything with a price.
The system creates the bets
Instead of one big accumulator, the system creates every possible combination of a chosen size. Yankee with 4 selections becomes 6 doubles, 4 trebles and 1 4-fold = 11 bets.
You stake each bet equally
Total cost = number of bets × your per-bet stake. A Yankee with $10/bet costs $110 total, not $10.
Returns are summed
Every winning combination pays out separately. Even if some legs lose, partial wins return money — that is the whole point of a system bet versus a straight accumulator.
The math behind it (transparency)
The calculator runs entirely in your browser using standard combinatorial math. No data leaves your device. The formulas below are public so you can verify any result by hand.
Combinations formula
For N selections grouped in K-folds, the number of combinations is C(N,K) = N! / (K! × (N−K)!). Yankee = C(4,2) + C(4,3) + C(4,4) = 6+4+1 = 11.
Per-combination return
If all K legs in a combination win, return = stake × o₁ × o₂ × ... × oₖ. Lose any leg in a combination → that combination returns 0.
Total return
Sum of returns across all winning combinations. Total stake = total bets × per-bet stake. Profit = total return − total stake.
All 10 system types explained
Required selections, total bets, and when each system makes sense
| System | Selections | Bets | Includes singles? | Best for |
|---|---|---|---|---|
| Trixie | 3 | 4 | No | 3 picks, low stake, need 2+ winners |
| Patent | 3 | 7 | Yes | 3 picks, want partial returns from 1 winner |
| Yankee | 4 | 11 | No | Classic 4-pick combo, need 2+ winners |
| Lucky 15 | 4 | 15 | Yes | Yankee + 4 singles for safety |
| Canadian | 5 | 26 | No | 5 picks, also called Super Yankee |
| Lucky 31 | 5 | 31 | Yes | Canadian + 5 singles |
| Heinz | 6 | 57 | No | 6 picks, 57 bets (named after 57 varieties) |
| Lucky 63 | 6 | 63 | Yes | Heinz + 6 singles |
| Super Heinz | 7 | 120 | No | 7 picks, 120 bets, big bankroll |
| Goliath | 8 | 247 | No | 8 picks, 247 bets, only for big books |
When does a system bet make sense?
System bets are not always the smart choice. Use this checklist before placing one.
- 1You have 3 to 8 selections you genuinely believe in — not a random fill of the slip.
- 2You can afford the total stake. Lucky 63 with $5/bet is $315, not $5. Calculate before placing.
- 3You want partial returns even if 1-2 legs lose. If you only want all-or-nothing, use a straight accumulator.
- 4The bookmaker offers competitive odds for system bets. Some operators add hidden margin specifically on combo bets.
- 5You understand the implied probability. Lucky 15 needs 1 winner just to recoup ~30% of stake on average odds.
- 6You logged the bet in your bankroll tracker before placing. System bets eat bankrolls fast if untracked.
System Bet FAQ
Related guides
Deep dives into specific system bet types and strategy
What is a system bet, explained
Beginner guide to multi-bet system structures
How does system betting work
Mechanics of generating bets from selections
How to calculate a system bet
Step-by-step manual calculation
System bet vs accumulator
When partial wins beat all-or-nothing
System bet tips: when to use
Strategic placement of system bets
Yankee bet calculator strategy
4 selections, 11 bets, 2-winner minimum
Lucky 15 bet explained
Yankee plus 4 singles for partial wins
Trixie bet vs Patent
3-selection systems with and without singles
Lucky 31 vs Lucky 63
Bigger lucky systems compared
Heinz, Super Heinz, Goliath
6-8 selection mega systems
Canadian bet explained
5 selections, 26 bets, no singles
System bet football strategy
Sport-specific tips for football combos
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