Winnings comparison: min bet vs max bet
Introduction
Bet size selection is a key factor in slot strategy. Min Bet ensures the safety of the bankroll and a long "marathon," while Max Bet opens up access to the most valuable functions and increases the absolute gain, but at the same time speeds up the expense of the deposit. This article contains only specifics: mathematical analysis, real numbers and clear recommendations.
1. Definitions and basic formulas
Min Bet - the minimum allowable rate per spin (for example, €0.10).
Max Bet - maximum possible rate (for example, €10).
RTP (%) does not change: same expected return to player.
Empirical gain:- $$
- W = \text{Multiplier} \times \text{Stake}.
- $$
- $$
- EV = \text{Stake} \times \frac{RTP}{100}.
- $$
2. Absolute and relative winnings
The relative rates (RTP, volatility) are the same, but the absolute scale of wins and losses is proportional to the bet.
3. Volatility and variance
The standard variance $\sigma $ grows linearly:- $$
- \sigma_{\text{Max}} = \sigma_{\text{Min}} \times \frac{10}{0,1} = \sigma_{\text{Min}} \times 100.
- $$
- Under Min Bet, the "dry series" lasts longer in money but less in backs; with Max Bet, the short series "burns out" faster.
4. Case studies
1. Freespins with Bonus Buy
Min Bet: 100×0,10=€10 за Bonus Buy; the average multiplier × 30 → €300.
Max Bet: 100×10=€1 000; the average multiplier × 30 → €30,000.
2. Risk Game (Dead or Alive 2)
Min Bet: winning × 3 = €0.30; risk round × 8 → €2.40.
Max Bet: winning × 3 = €30; risk round × 8 → €240.
5. Bankroll-to-Bet Ratio
Recommendations:- For Min Bet: at least 200 × bets (200 × 0.10 = €20) for 200 spins.
- For Max Bet: at least 100 × bets (100 × 10 = €1,000) for 100 spins.
Formula
$$
N = \frac{\text{Bankroll}}{\text{Stake}},\quad N_{\text{Min}}≫N_{\text{Max}}.
$$
6. When to choose Min Bet vs Max Bet
Conclusion
Min Bet and Max Bet are two tools for different purposes: the former allow you to "stretch" the bankroll and provide long-term play, the latter open up access to large payments and bonus functions. The choice depends on your goal: a marathon or a jackpot hunt. The combination of both modes within the Bankroll-to-Bet Ratio and the portion approach will give an optimal balance between risk and potential benefit.
