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// 10 system types · live math · zero signup

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.

10System types
8Max selections
100%Free, no signup
Built by Evgeniy VolkovLast updated: April 23, 2026
Evgeniy Volkov
Evgeniy VolkovSenior iGaming Software Engineer
Math verified vs UK bet slip standardOpen methodology in How It Works10+ years building bet calculators
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Quick presets

One click to load a system type with sample odds

system-bet-calc.sysYankee · 4 sel · 11 bets
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Each bet in the system uses this stake

Enter all selections to see the calculation

Mechanics

How a system bet works

A system bet is multiple accumulators built from a single set of selections

01

Pick your selections

You choose 3 to 8 outcomes — football matches, tennis games, horse races, anything with a price.

02

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.

03

You stake each bet equally

Total cost = number of bets × your per-bet stake. A Yankee with $10/bet costs $110 total, not $10.

04

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.

Transparency

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.

f1

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.

f2

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.

f3

Total return

Sum of returns across all winning combinations. Total stake = total bets × per-bet stake. Profit = total return − total stake.

Reference

All 10 system types explained

Required selections, total bets, and when each system makes sense

SystemSelectionsBetsIncludes singles?Best for
Trixie34No3 picks, low stake, need 2+ winners
Patent37Yes3 picks, want partial returns from 1 winner
Yankee411NoClassic 4-pick combo, need 2+ winners
Lucky 15415YesYankee + 4 singles for safety
Canadian526No5 picks, also called Super Yankee
Lucky 31531YesCanadian + 5 singles
Heinz657No6 picks, 57 bets (named after 57 varieties)
Lucky 63663YesHeinz + 6 singles
Super Heinz7120No7 picks, 120 bets, big bankroll
Goliath8247No8 picks, 247 bets, only for big books
Checklist

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.
FAQ

System Bet FAQ

A system bet is a wager built from multiple selections that automatically creates several smaller bets covering different combinations. Unlike a straight accumulator that pays only if every leg wins, a system bet still returns money if some legs lose — depending on how many winners you have.
A Yankee uses 4 selections to create 11 bets: six doubles, four trebles, and one 4-fold accumulator. You need at least two winners to get any return. Total stake equals 11 × your per-bet stake.
Lucky 15 is a Yankee plus 4 singles — total 15 bets from the same 4 selections. Lucky 15 returns money even with just one winner (because of the singles), while Yankee needs at least two winners. Lucky 15 costs more upfront because it has 4 extra bets.
A Heinz uses 6 selections to create 57 bets: 15 doubles, 20 trebles, 15 4-folds, 6 5-folds, and 1 6-fold accumulator. It is named after the famous '57 varieties' slogan. With $1 per bet, total stake is $57.
For each combination size (doubles, trebles, etc.), generate every possible group of selections. Multiply the odds within each group — if all legs in that group win, that combination returns stake × multiplied odds. Sum all winning combinations to get your total return.
Both use 3 selections. A Trixie has 4 bets (3 doubles + 1 treble) and needs 2+ winners. A Patent has 7 bets (Trixie + 3 singles) and returns money even with 1 winner. Patent costs more but is more forgiving.
Mathematically, system bets have the same expected value as the underlying singles and accumulators they contain. They reduce variance compared to a single accumulator but increase total stake. They are a risk-management tool, not a profit hack.
Yes. The math depends only on odds, not on the sport. You can build a system bet from football matches, tennis games, horse races, basketball, esports, or any combination of the above. Just enter the decimal odds for each selection.
An accumulator is a single bet where every leg must win for any return. A system bet is multiple smaller accumulators built from the same selections, so partial wins still pay out. Accumulators have higher max payouts but zero return on partial wins.
Lucky 15 = 4 selections, 15 bets (Yankee + 4 singles). Lucky 31 = 5 selections, 31 bets (Canadian + 5 singles). Lucky 63 = 6 selections, 63 bets (Heinz + 6 singles). All three include singles so one winner guarantees some return.
A Goliath uses 8 selections to create 247 bets — 28 doubles, 56 trebles, 70 4-folds, 56 5-folds, 28 6-folds, 8 7-folds, and 1 8-fold accumulator. It is the largest standard system bet. With $1 per bet, total stake is $247.
Most bookmakers use the same individual selection odds for system bets as for singles. However, some operators add a small margin specifically on combination bets, so the implied probability of the multiplied odds is slightly worse than the individual prices suggest.
Three common causes: (1) the bookmaker rounds differently — fractional vs decimal odds conversions can drop pennies; (2) some bookmakers apply a system bet margin not visible in the displayed odds; (3) place terms or each-way splits change the calculation for racing markets. For straight singles in win-only markets, the math should match exactly.
If you want one winner to guarantee some return, start with a Patent (3 selections, 7 bets) or Lucky 15 (4 selections, 15 bets). Both include singles, which protect against having only one correct pick. Avoid Heinz/Goliath until you understand the cost: a Lucky 63 with $5 per bet is $315 total, not $5.
author-credentials.sysE-E-A-T
Evgeniy Volkov

Evgeny Volkov

Verified Expert
Math & Software Engineer, iGaming Expert

Over 10 years developing software for the gaming industry. Advanced degree in Mathematics. Specializing in probability analysis, RNG algorithms, and mathematical gambling models.

Experience10+
SpecializationiGaming
Status
Active