Prize options: money, freespins, multipliers
Prize options: money, freespins, multipliers
Material refers to "What are prize wheel slots?" and systematizes the three basic types of rewards encountered on the wheel: cash payments, freespins, and multipliers. Below are the exact definitions of how the value of each prize is considered, how they affect RTP/volatility, and what restrictions are usually applied.
1) Basic definitions
Money (Cash/Coins/Bet ×): an instant fixed payment, usually a multiple of the current rate (for example, 5 ×, 50 ×) or expressed in "coins" with a known face value.
Freespins (FS): a package of free spins of the main slot with given modifiers (multipliers, expanding wilds, increased frequency of bonus characters, retrievers).
Multipliers-Multipliers that increase the bet, current win, bonus total, or next wheel/stage. They are stacked according to the rules of the game (additive or multiplicative).
2) How to count the value (EV) of a prize
Let the rate = B (in credits/y. e.) .
2. 1. Cash prize
If the sector gives k × to the rate, the value:
2. 2. Freespin pack
Let the average return of one freespin at rate B be r⋅B (r is the average payout in rates taking into account modifiers) and given N freespins:
Note: r depends on the specific game/modifiers and is almost always higher than the average payout of one spin in the base game (due to gains), but greatly increases the variance.
2. 3. Multiplier
If the multiplier m is × applied to the bet (and immediately paid):
If the multiplier is applied to the current win/bonus total, the EV depends on the distribution of that win. If there is no open distribution, estimate $ E [ext {Win}] $:
If the multipliers are stacked, the total for $ m _ 1, m _ 2 ,\dots $:
3) Impact on RTP and volatility
RTP: wheel contribution = $\sum _ i p_i\cdot EV_i/B $ (in bets) multiplied by the probability of the wheel trigger in the base game.
Volatility:
4) Cash prizes: key nuances
Format: fixed amounts (in bets), coins with face value, sometimes range (minimum/maximum).
Caps: maximum payout per sector/bonus; total max win games (e.g. 5,000 × -50 000 ×).
Frequency: Cash sectors often carry high weights (p\_ i), maintaining a sense of "frequent hits."
Combo sectors: "Money + upgrade" (payment + transition to the next wheel), "Money + repeat" (respin wheels).
5) Frispins: design and cost
Package composition: N spins + modifiers (persistent wilds, reel extensions, increased multipliers, special characters).
Retriggers: Can increase expectation and variance (geometric tail).
r score: counts in modeling; depends on the slot theme. Strong modifiers → r↑, dispersiya↑.
Issuance options: fixed N; player selection (fewer spins but higher multiplier/more spins but lower multiplier); "mysterious" package (random N and/or multiplier).
Pitfalls: cap to win in freespins; different denominations of the bet in the bonus are prohibited - fixed at the entrance.
6) Factors: types and rules of application
Bet ×: simple cash equivalent, paid immediately.
To current win (Win ×): multiplies the amount after calculating the lines/clusters per spin.
Bonus Total ×: Increases all final feature winnings.
To the next stage: reinforces the value of the next wheel/freespins.
Staking:
7) How prizes combine on the wheel
Mixed sectors: "10 × + upgrade," "FS + start multiplier," "FS + chance retriggera↑."
Multi-level wheels: the first circle more often gives out "trifles" and upgrades; the second is large FS/multipliers/jackpots.
Cumulative effects: Symbol/point collection amplifies specific sectors (dynamic weight table).
8) Practical choice for the player
Money - when stability and dispersion control are important (short sessions, a small bankroll).
Friespins - when it suits the risk for the sake of high potential return (readiness for "dry" periods).
Multipliers are relevant if they apply to the bonus total or to strong freespins; to the rate - actually "money" in a different package.
Check info screen - what the multiplier is applied to, what modifiers FS has, whether there are caps.
Limits: fix budget/time; large factors and "super-FS" dramatically increase variance.
9) Mini cases (numerical)
Let B = 1 c.u.
Case A (Money): Sector 25 ×
$$
EV = 25 \cdot 1 = 25 \ ext{у. e.}
$$
Case B (freespins): 10 FS, average payout of one FS $ r = 1 {,} $8 bets
$$
EV = 10 \cdot 1{,}8 \cdot 1 = 18 \ ext{у. e.}
$$
(lower than 25 ×, but heavy-tailed distribution - chance of very large outcome)
Case C (multiplier to bonus total): m = 2 ×, expected bonus total without multiplier $ E [ext {Bonus}] = 12B $
$$
EV = 2 \cdot 12 \cdot 1 = 24 \ ext{у. e.}
$$
Conclusion on cases: "what is more profitable" is decided not by the prize label, but by the application base and real r/m parameters.
10) Frequent mistakes and myths
"A multiplier is always better than money" is incorrect without the context of the base and caps.
"More frispins are always better" - without modifiers, r can be low; sometimes less FS with a larger starting multiplier is more profitable.
"Prizes of the same name are equal in value" - balance tables, caps and modifiers make them incomparable without calculation.
11) Limitations and transparency
Max win games (hard ceiling) takes precedence over any multipliers and FS.
Fixing the bet at the entrance to the bonus - excludes overestimation of awards.
RNG and certification - integrity of outcomes and compliance with stated RTP.
Bottom line:
Material refers to "What are prize wheel slots?" and systematizes the three basic types of rewards encountered on the wheel: cash payments, freespins, and multipliers. Below are the exact definitions of how the value of each prize is considered, how they affect RTP/volatility, and what restrictions are usually applied.
1) Basic definitions
Money (Cash/Coins/Bet ×): an instant fixed payment, usually a multiple of the current rate (for example, 5 ×, 50 ×) or expressed in "coins" with a known face value.
Freespins (FS): a package of free spins of the main slot with given modifiers (multipliers, expanding wilds, increased frequency of bonus characters, retrievers).
Multipliers-Multipliers that increase the bet, current win, bonus total, or next wheel/stage. They are stacked according to the rules of the game (additive or multiplicative).
2) How to count the value (EV) of a prize
Let the rate = B (in credits/y. e.) .
2. 1. Cash prize
If the sector gives k × to the rate, the value:
- $$
- EV_{ext{cash}} = k \cdot B
- $$
2. 2. Freespin pack
Let the average return of one freespin at rate B be r⋅B (r is the average payout in rates taking into account modifiers) and given N freespins:
- $$
- EV_{ext{FS}} = N \cdot r \cdot B
- $$
Note: r depends on the specific game/modifiers and is almost always higher than the average payout of one spin in the base game (due to gains), but greatly increases the variance.
2. 3. Multiplier
If the multiplier m is × applied to the bet (and immediately paid):
- $$
- EV_{ext{mult,bet}} = m \cdot B
- $$
If the multiplier is applied to the current win/bonus total, the EV depends on the distribution of that win. If there is no open distribution, estimate $ E [ext {Win}] $:
- $$
- EV_{ext{mult,win}} = m \cdot E[ext{Win}]
- $$
If the multipliers are stacked, the total for $ m _ 1, m _ 2 ,\dots $:
- additive: $ (1 + m _ 1 + m _ 2 +\dots )\cdotext {base} $
- multiplicative: $ (1 + m _ 1 )\cdot (1 + m _ 2 )\cdots\cdotext {base} $
3) Impact on RTP and volatility
RTP: wheel contribution = $\sum _ i p_i\cdot EV_i/B $ (in bets) multiplied by the probability of the wheel trigger in the base game.
Volatility:
- Money → the most predictable value, low/medium variance.
- Frispins → a wide range of results, noticeable "peaks," high dispersion.
- Multipliers → variance depends on the base (to which it applies): to the rate - moderate; to the results of the bonus - high.
4) Cash prizes: key nuances
Format: fixed amounts (in bets), coins with face value, sometimes range (minimum/maximum).
Caps: maximum payout per sector/bonus; total max win games (e.g. 5,000 × -50 000 ×).
Frequency: Cash sectors often carry high weights (p\_ i), maintaining a sense of "frequent hits."
Combo sectors: "Money + upgrade" (payment + transition to the next wheel), "Money + repeat" (respin wheels).
5) Frispins: design and cost
Package composition: N spins + modifiers (persistent wilds, reel extensions, increased multipliers, special characters).
Retriggers: Can increase expectation and variance (geometric tail).
r score: counts in modeling; depends on the slot theme. Strong modifiers → r↑, dispersiya↑.
Issuance options: fixed N; player selection (fewer spins but higher multiplier/more spins but lower multiplier); "mysterious" package (random N and/or multiplier).
Pitfalls: cap to win in freespins; different denominations of the bet in the bonus are prohibited - fixed at the entrance.
6) Factors: types and rules of application
Bet ×: simple cash equivalent, paid immediately.
To current win (Win ×): multiplies the amount after calculating the lines/clusters per spin.
Bonus Total ×: Increases all final feature winnings.
To the next stage: reinforces the value of the next wheel/freespins.
Staking:
- Additive (rarely for finals, more often for spin modifiers).
- Multiplicative (gives "explosive" distribution tails; need a hard mouth guard).
- Caps and profile protection: limits on one-time/total multiplier, "mitigation" of large m × low probabilities.
7) How prizes combine on the wheel
Mixed sectors: "10 × + upgrade," "FS + start multiplier," "FS + chance retriggera↑."
Multi-level wheels: the first circle more often gives out "trifles" and upgrades; the second is large FS/multipliers/jackpots.
Cumulative effects: Symbol/point collection amplifies specific sectors (dynamic weight table).
8) Practical choice for the player
Money - when stability and dispersion control are important (short sessions, a small bankroll).
Friespins - when it suits the risk for the sake of high potential return (readiness for "dry" periods).
Multipliers are relevant if they apply to the bonus total or to strong freespins; to the rate - actually "money" in a different package.
Check info screen - what the multiplier is applied to, what modifiers FS has, whether there are caps.
Limits: fix budget/time; large factors and "super-FS" dramatically increase variance.
9) Mini cases (numerical)
Let B = 1 c.u.
Case A (Money): Sector 25 ×
$$
EV = 25 \cdot 1 = 25 \ ext{у. e.}
$$
Case B (freespins): 10 FS, average payout of one FS $ r = 1 {,} $8 bets
$$
EV = 10 \cdot 1{,}8 \cdot 1 = 18 \ ext{у. e.}
$$
(lower than 25 ×, but heavy-tailed distribution - chance of very large outcome)
Case C (multiplier to bonus total): m = 2 ×, expected bonus total without multiplier $ E [ext {Bonus}] = 12B $
$$
EV = 2 \cdot 12 \cdot 1 = 24 \ ext{у. e.}
$$
Conclusion on cases: "what is more profitable" is decided not by the prize label, but by the application base and real r/m parameters.
10) Frequent mistakes and myths
"A multiplier is always better than money" is incorrect without the context of the base and caps.
"More frispins are always better" - without modifiers, r can be low; sometimes less FS with a larger starting multiplier is more profitable.
"Prizes of the same name are equal in value" - balance tables, caps and modifiers make them incomparable without calculation.
11) Limitations and transparency
Max win games (hard ceiling) takes precedence over any multipliers and FS.
Fixing the bet at the entrance to the bonus - excludes overestimation of awards.
RNG and certification - integrity of outcomes and compliance with stated RTP.
Bottom line:
- Money - predictable contribution to RTP, low/medium variance.
- Frispins - high potential due to modifiers, maximum contribution to dispersion.
- Multipliers - value is determined by the base of application and stacking rules; multiplicative mode requires mouthguards.
- The rational choice depends on the purpose of the session (stability or peak), the size of the bankroll and the specific settings of the game reflected in the info screen.
