Reading our math
Every term on our math pages, with a worked example.
Terms
- RTP
- Return to player: the share of all money wagered that a game pays back over the long run. Nitro Gaming titles run at 96.70%, a house edge of 3.30%.
- Max win
- The largest payout a single round can produce, as a multiple of the bet. Between 25,000x and 50,000x the bet, depending on the title and the mode. In buy features the maximum is 25,000x.
- Volatility (std dev)
- How widely single-round results spread from the average. Higher values mean longer runs without wins and larger spikes. Engine rates each mode Low, Medium or High.
- Hit rate
- The share of rounds that pay anything, also shown as "1 in N". A 13.12% hit rate is 1 in 7.62.
- Zero rate
- The share of rounds that pay nothing: 100% minus the hit rate.
- Sub-bet win
- A win smaller than the cost of the round.
- B/E
- Break-even rate: the share of rounds that return the round’s cost or more.
- Mean
- The average payout per round as a multiple of the bet. 0.97x corresponds to a 96.70% RTP.
- Outcomes
- The number of simulated results in the game’s lookup table. Nitro Gaming titles use 99,936.
- Distinct payouts
- How many different payout values, in 0.1x steps, fall inside a payout band.
- Effective hit rate
- How often a payout band lands, written as 1 in N rounds.
- RTP contribution
- How much of the total return comes from one payout band.
- Tail probability
- How likely a single round is to pay a given multiple or more, such as 5,000x.
- CVaR
- Conditional value at risk: the average payout across the worst 0.1% of outcomes for the operator, checked per unit of stake and in absolute terms.
- Expected tail liability
- How much of a game’s expected payout sits above a threshold such as 40x or 10,000x.
- Bet tier
- Engine’s star rating for a bet range. Games that pass a tier’s risk limits keep that tier’s full caps.
The numbers, drawn
$96.70 returned$3.30 house edge
Worked example
Goblin Gold Mine's base game has a 13.12% hit rate, so about one spin in 7.62 pays something. Its zero rate is 86.88%, the other side of the same number.
The payout table puts the 20x to 50x band at one spin in 165.49, worth 18.35% of RTP. At a $1.00 bet over 10,000 spins, you would expect roughly 60 wins in that band returning about $1,835 of the $9,670 the game returns in total. Individual sessions vary widely around that average, which is what the standard deviation of 15.52 describes.
Long-run figures
These figures describe each game over millions of rounds. A single session can land far above or below them.