Tuning Tau
Pay sheet and certificate · maths version v2 · generated from the exact PAR
At a glance
| Return to player | 96.00 % |
| Return when buying THE LAST RUN | 95.95 % |
| Return when buying THE LADY’S DRAW | 95.94 % |
| Maximum win | 5,000× the bet (₹25,00,000 at ₹500) |
| Winning spins | 1 in 4.6 (21.90 %) spins |
| THE LAST RUN | 1 in 227.1 (0.44 %) spins |
| Volatility | medium–high · σ 6.88× the bet per spin |
| Bets | ₹10 to ₹500 |
| Lines | 40 fixed |
| Pays nothing | About 78.10 % of spins pay nothing |
Paytable
Each line pays one combination from the leftmost reel — a fixed prize below, or THE LADY’S DRAW; wins on different lines add. The TRAM BOARD stands in for every symbol but the CASH BOX. Prizes are multiples of your total bet.
| Symbol | 5 | 4 | 3 |
|---|---|---|---|
| The Conductor | 20× | 4× | 1× |
| The Chai-wali | 20× | 4× | 1× |
| The Babu | 12× | 3× | 1× |
| Tram bell | 8× | 2× | 0.4× |
| Cutting-chai glass | 8× | 2× | 0.4× |
| A ticket | 4× | 1× | 0.2× |
| K ticket | 4× | 1× | 0.2× |
| Q ticket | 4× | 1× | 0.2× |
| J ticket | 4× | 1× | 0.2× |
THE LADY’S DRAW
Three or more THE LADY symbols on a line — or TRAM BOARDs standing in for her, including a line of TRAM BOARDs alone — pay a random prize for that length, drawn for each such line. The TRAM BOARD has no pay row of its own: a line of TRAM BOARDs alone pays THE LADY'S DRAW. Where TRAM BOARDs open a line and also complete a longer combination of another symbol, that combination pays if its prize is at least the top prize of THE LADY'S DRAW for the TRAM BOARDs' length; otherwise the line pays THE LADY'S DRAW. The paytable inside the game describes the Lady's draw, without printing prizes; its distribution is below.
| On a line | Prize (× total bet) and its chance |
|---|---|
| 3 of THE LADY | 0.2× (40.0%) · 0.4× (30.0%) · 1× (20.0%) · 2× (10.0%) |
| 4 of THE LADY | 1× (33.3%) · 2× (26.7%) · 3× (20.0%) · 4× (13.3%) · 10× (6.7%) |
| 5 of THE LADY | 4× (33.4%) · 8× (26.8%) · 12× (20.1%) · 20× (13.0%) · 50× (6.7%) |
A spin shows a line of THE LADY 1 in 104.0 (0.96 %) spins; on those spins the round pays 8.63× the bet on average.
THE LAST RUN
Exactly 3, 4 or 5 CASH BOXes anywhere start THE LAST RUN with 10, 20 or 30 free spins on the tram’s own reels, where the TRAM BOARD comes in full columns. The same counts during the run add 10, 20 or 30 more. The whole run is paid when it ends.
| 3 CASH BOXes (10 free spins) | 1 in 236.8 (0.42 %) spins |
| 4 CASH BOXes (20 free spins) | 1 in 5,625.0 (0.02 %) spins |
| 5 CASH BOXes (30 free spins) | 1 in 337,500.0 (0.00 %) spins |
| Free spins per run, extra spins included | 10.73 |
| Average run | 71.73× the bet |
Buy THE LAST RUN
For 75× the bet: a base screen of this game with 3, 4 or 5 CASH BOXes — its own line wins included — and THE LAST RUN it starts, every extra spin included. It pays 71.96× the bet on average: 95.95 % of the price.
| What it delivers | 10 free spins 95.90% · 20 free spins 4.04% · 30 free spins 0.067% |
| It pays nothing | 1 in 2,325.2 (0.04 %) runs |
| It pays 50× or more | 1 in 1.9 (53.79 %) runs |
| It pays 500× or more | 1 in 1,369.9 (0.07 %) runs |
Buy THE LADY’S DRAW
For 9× the bet: a base screen of this game with at least one line of THE LADY, each such line paying her draw, and every other win on the screen. It pays 8.63× the bet on average: 95.94 % of the price.
| What it delivers | at least one draw of THE LADY; the smallest is 0.2× the bet |
| It pays nothing | never (0%) |
| It also starts THE LAST RUN | never: no screen of this game with a line of THE LADY shows three CASH BOXes |
| It pays 20× or more | 1 in 11.7 (8.54 %) draws |
Maximum win
A round pays at most 5,000× the bet, the whole run of free spins included; it ends there. A single screen can pay at most 2,000× the bet (forty lines at the top prize), so 5,000× takes three near-perfect free spins in one run: about 1 in 2.9e34 (0.00 %) rounds. What players see in practice: a round pays 500× or more 1 in 311,087.6 (0.00 %) rounds, and 1,000× or more 1 in 583,123,178.7 (0.00 %) rounds.
Certificate
This game’s maths is certified in-house by Wynbook, the game’s studio; no outside laboratory is involved. The figures above come from three independent computations that must agree:
| Exact return, every one of 1,101,427,200 screens (Go) | 96.000050% |
| Exact return (independent Python) | identical rational |
| Simulation, 100,000,000 spins | 96.0844% ± 0.1774 |
| Simulation, 1,000,000 bought runs | 95.9599% ± 0.2165 |
| Simulation, 1,000,000 bought draws | 95.8367% ± 0.3692 |
Spec fingerprint (SHA-256): 20f9129fcc5735407fd875ba07ffb3b1fe59da0daf23e330111e02a3098598e4. Every round is settled against exactly this fingerprint; a change to any number above would change it and switch the game off.
Exact return as a fraction: 7107527651299331/7403670799200000. Simulation intervals are 99%.