11 CSR 45-5.193
Statistical Performance of Electronic Gaming Devices (EGDs)
PURPOSE: This rule establishes the standards for EGD statistical
performance.
(1) Gaming equipment suppliers shall—
(A) Provide the volatility index (VI) on all Probability
Accounting Report (PAR) sheets. The volatility index shall
be calculated at ninety-five percent (95%) confidence level
and at one- (1-) line played, or the EGD minimum bet where
applicable. For EGDs with non-linear paytables, the bet with
the lowest payout shall be used. The calculations shall be
accomplished by utilizing the below formulas:
VI = κσ
Where κ equals the z score for the required confidence level
and σ is the standard deviation for the game.
The standard deviation is calculated as follows:
Net Payi = the amount of each individual pay divided by
the number of credits wagered or the total win amount of
one wagered game, including all wins in any bonus rounds,
divided by the number of credits wagered
E.V. = the payback percentage for the game
Probabilityi = probability of each Net Payi
(B) Calculate PAR sheets utilizing theoretical analysis where
feasible. When the Return To Player (RTP) percentage cannot
be feasibly computed using theoretical analysis, the RTP
percentage shall be computed such that the half-width of the
ninety-five percent (95%) confidence interval is not more than
.01%;
(C) Obtain written authorization from the commission prior
to submitting any EGDs that support features which introduce
independent VIs, separate from the base game VI, to an
independent testing laboratory (ITL);
(D) Ensure each EGD payout that is calculated into the PAR
sheet’s RTP for the game increments the appropriate coin-out,
attendant-paid jackpot, attendant-paid progressive payout,
or machine-paid progressive payout meter to allow for the
analysis of game performance for all EGD software submitted
for approval after January 1, 2014. Any features not calculated
into the PAR sheet’s RTP of the game shall not increment these
meters, unless otherwise approved by the commission;
(E) Ensure all base game, bonus, and progressive winnings
from a wager are aggregated to determine whether the EGD
payout is a reportable and/or taxable event requiring the EGD
to lock up, allowing for the preparation of a W-2G and state
withholdings as required by section 313.826, RSMo;
(F) Provide to the commission and Class B licensees a PAR
sheet for each game theme and any additional products which
utilize a random number generator (RNG) to determine game
outcome. PAR sheets shall list the software identification
number of the product for which the PAR sheet applies and
each paytable shall include—
1. The minimum and maximum theoretical RTP;
2. An explanation of how the expected theoretical RTP was
calculated for games of skill/strategy;
3. Identification of each winning combination and its
award value;
4. Volatility Index; and
5. Standard confidence intervals at a confidence level of
ninety-five percent (95%) with each interval showing 10,000,
100,000, 1,000,000, 10,000,000, and 100,000,000 games played;
(G) Provide to the commission the following supporting
documentation for each game theme and any additional
products which utilize an RNG to determine game outcome:
1. Identification of available and valid configuration
options, including payline options, denominations supported,
maximum bets supported, bet per line options, mandatory
feature or bonus bets, and optional feature or bonus bets;
2. Progressive awards, if offered, including—
A. Identification of each progressive supported;
B. The recommendation or required reset value;
GAMING COMMISSION
C. The default incrementation rate; and
D. The odds of winning each progressive;
3. List of symbols as placed on each reel strip, including
actual reel stop positions for each symbol;
4. Identification of the base game top award and the odds
of winning the base game top award; and
5. Identification of and frequency of obtaining all features
and bonuses; and
(H) Calculate the theoretical payout percentage of strategy
card games such as video poker using optimal strategy.
(2) ITLs shall—
(A) Independently verify the VI and RTP percentage, then
detail the findings in the certification letter;
(B) Provide standard confidence intervals at a confidence
level of ninety-nine percent (99%) in the certification letters
using this formula—
with the number of games played for each interval being
10,000, 100,000, 1,000,000, 10,000,000, and 100,000,000; and
(C) Calculate the theoretical payout percentage of strategy
card games such as video poker using optimal strategy.
AUTHORITY: sections 313.004 and 313.807, RSMo 2016, and
sections 313.800 and 313.805, RSMo Supp. 2024.* Original rule filed
Sept. 27, 2012, effective May 30, 2013. Amended: Filed Dec. 5, 2024,
effective July 30, 2025.
*Original authority: 313.004, RSMo 1993, amended 1994, 2014; 313.800, RSMo
1991, amended 1992, 1993, 1994, 2005, 2014, 2016, 2021, 2022; 313.805, RSMo 1991,
amended 1992, 1993, 1994, 2000, 2008, 2010, 2021, 2022; and 313.807, RSMo 1991,
amended 1992, 1993, 2000, 2012.