Circus Chacha

Pay sheet and certificate · maths version v2 · generated from the exact PAR

At a glance

Return to player96.00 %
Return when buying TRAPEZE ACT95.95 %
Return when buying MAGICIAN'S HAT DRAW95.94 %
Maximum win5,000× the bet (₹25,00,000 at ₹500)
Winning spins1 in 4.6 (21.90 %) spins
TRAPEZE ACT1 in 227.1 (0.44 %) spins
Volatilitymedium–high · σ 6.88× the bet per spin
Bets₹10 to ₹500
Lines40 fixed
Pays nothingAbout 78.10 % of spins pay nothing

Paytable

Each line pays one combination from the leftmost reel — a fixed prize below, or MAGICIAN'S HAT DRAW; wins on different lines add. The CHACHA'S WILD TILE stands in for every symbol but the MAGICIAN'S TRUNK. Prizes are multiples of your total bet.

Symbol543
Tin trumpets — first20×4×1×
Tin trumpets — second20×4×1×
Ringmaster's hand bell12×3×1×
Candy floss8×2×0.4×
Popcorn cone8×2×0.4×
Ticket4×1×0.2×
Hoop4×1×0.2×
Whistle4×1×0.2×
Balloon bunch4×1×0.2×

MAGICIAN'S HAT DRAW

Three or more Magician's hat symbols on a line — or CHACHA'S WILD TILES standing in for her, including a line of CHACHA'S WILD TILES alone — pay a random prize for that length, drawn for each such line. The CHACHA'S WILD TILE has no pay row of its own: a line of CHACHA'S WILD TILES alone pays MAGICIAN'S HAT DRAW. Where CHACHA'S WILD TILES 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 MAGICIAN'S HAT DRAW for the CHACHA'S WILD TILES' length; otherwise the line pays MAGICIAN'S HAT DRAW. The paytable inside the game describes magician's hat draw, without printing prizes; its distribution is below.

On a linePrize (× total bet) and its chance
3 of Magician's hat0.2× (40.0%) · 0.4× (30.0%) · 1× (20.0%) · 2× (10.0%)
4 of Magician's hat1× (33.3%) · 2× (26.7%) · 3× (20.0%) · 4× (13.3%) · 10× (6.7%)
5 of Magician's hat4× (33.4%) · 8× (26.8%) · 12× (20.1%) · 20× (13.0%) · 50× (6.7%)

A spin shows a line of Magician's hat 1 in 104.0 (0.96 %) spins; on those spins the round pays 8.63× the bet on average.

TRAPEZE ACT

Exactly 3, 4 or 5 MAGICIAN'S TRUNKS anywhere start TRAPEZE ACT with 10, 20 or 30 free spins on this game’s own reels, where the CHACHA'S WILD TILE 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 MAGICIAN'S TRUNKS (10 free spins)1 in 236.8 (0.42 %) spins
4 MAGICIAN'S TRUNKS (20 free spins)1 in 5,625.0 (0.02 %) spins
5 MAGICIAN'S TRUNKS (30 free spins)1 in 337,500.0 (0.00 %) spins
Free spins per run, extra spins included10.73
Average run71.73× the bet

Buy TRAPEZE ACT

For 75× the bet: a base screen of this game with 3, 4 or 5 MAGICIAN'S TRUNKS — its own line wins included — and TRAPEZE ACT it starts, every extra spin included. It pays 71.96× the bet on average: 95.95 % of the price.

What it delivers10 free spins 95.90% · 20 free spins 4.04% · 30 free spins 0.067%
It pays nothing1 in 2,325.2 (0.04 %) runs
It pays 50× or more1 in 1.9 (53.79 %) runs
It pays 500× or more1 in 1,369.9 (0.07 %) runs

Buy MAGICIAN'S HAT DRAW

For 9× the bet: a base screen of this game with at least one line of Magician's hat, 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 deliversat least one draw of Magician's hat; the smallest is 0.2× the bet
It pays nothingnever (0%)
It also starts TRAPEZE ACTnever: no screen of this game with a line of Magician's hat shows three MAGICIAN'S TRUNKS
It pays 20× or more1 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 spins96.0844% ± 0.1774
Simulation, 1,000,000 bought runs95.9599% ± 0.2165
Simulation, 1,000,000 bought draws95.8367% ± 0.3692

Spec fingerprint (SHA-256): 5fd5110aacf8948ace4479a13d24dd3df6d4f181e7515651aaf31d9acce5f7d3. 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%.