GAME MATH LIBRARY
How Is Hold & Win RTP Calculated? 6+ Coin Trigger, Respins, and Exact 95.8366%
The current public Hold & Win model has an exact total RTP of about95.8366%. The96% constant is a design target and should be disclosed separately.
Wavelet Intelligence · 2026-09-25Direct answer
The current public Hold & Win model has an exact total RTP of about95.8366%. The96% constant is a design target and should be disclosed separately.
Quick facts
- Coin / cell
- 788/3148≈25.0318%
- 6+ Trigger
- ≈1.0061%
- Exact Total RTP
- ≈95.8366%
- Target constant
- 96%
01
Per-cell Coin probability and the Bonus trigger
Every base cell samples independently from a symbol table with total weight3,148. Coin weight is788, so p=788/3148≈25.0318%.
At least six Coins among nine cells is a binomial tail: P(K≥6)=Σ(k=6→9)C(9,k)p^k(1−p)^(9−k)≈1.0061%.
02
Base RTP and Feature RTP are separate expectations
Base RTP comes from exact enumeration of three-matching symbols over five paylines and is currently about45.6889%.
Feature RTP weights each possible initial Coin count, Coin award EV, respin state and GRAND full-board probability, producing about50.1477%.
03
Three Respins are a recursive state process
The Bonus begins with three respins. Every empty cell has a5% chance to land a new Coin on a respin, and any respin with at least one new Coin resets the remaining count to three.
The feature therefore cannot be modeled as exactly three independent draws. The canonical engine recursively evaluates the finite state (filled, respinsRemaining).
04
A96% target is not the same as exact95.8366%
HNW_TARGET_RTP=0.96 is a design target constant. Exact calculation from the current weights, paytable, Coin awards, jackpots and respin rules gives about95.8366%.
SEO and UI should label Target and Exact separately instead of presenting a rounded design target as production truth.
EXAMPLE
Exact decomposition
Coin / cell=788/3148≈25.0318%P(6+ Coins in 9)≈1.0061%Base RTP≈45.6889%Feature RTP≈50.1477%Total exact≈95.8366% · target=96%
Frequently asked questions
Why is exact RTP not exactly96%?
Because96% is the design target; discrete weights, paytable, feature states and jackpots determine the exact value.
Does the Bonus always last exactly three respins?
No. Landing any new Coin resets the remaining count to three, so the total number of respins can exceed three.
Is the 6+ trigger rate the same as Feature RTP?
No. Trigger rate is only entry probability; Feature RTP weights every possible payout state after entry.