The Math Behind Money Coming’s High-Roller Bonus Round

Money Coming is a popular online slot game developed by Microgaming, known for its exciting gameplay and lucrative bonus features. One of the most anticipated and rewarding aspects of this game is the High-Roller Bonus Round, which can award significant payouts to players who meet specific criteria. In this article, we’ll delve into the math behind Money Coming’s High-Roller Bonus Round, https://money-coming.org/ exploring its intricacies, probability calculations, and expected value.

Understanding the Game Mechanics

Before diving into the math, let’s quickly review the basic gameplay mechanics of Money Coming. The game features a standard 5×3 reel layout with nine paylines, offering a wide range of betting options to suit different player preferences. Symbols include high-paying icons like diamonds, rubies, and emeralds, as well as lower-paying numbers and letters.

The High-Roller Bonus Round is triggered when a player meets the following conditions:

• The game must be played with the maximum bet
• Three or more scatter symbols appear anywhere on the reels

Upon entering the bonus round, players are presented with a series of 10 free spins. During this time, all wins are multiplied by three, and any additional scatter symbol that appears will award an extra 5 free spins.

Mathematical Analysis of the Bonus Round

To calculate the expected value (EV) of the High-Roller Bonus Round, we need to consider several factors:

• Probability of triggering the bonus round : With a maximum bet and three or more scatter symbols required for entry, the probability of reaching this stage is relatively low. Assuming an average 96% return-to-player (RTP) rate and using the Kelly Criterion for optimal betting, the EV can be estimated.

• Expected number of free spins : During the bonus round, players receive 10 guaranteed free spins plus any additional spins awarded by scatter symbols appearing on subsequent reels. By calculating the probability distribution of each spin outcome, we can estimate the average number of free spins received per trigger.

• Paytable analysis : The game’s paytable is structured to award varying payouts for different symbol combinations. We’ll analyze these values and their corresponding probabilities to determine the expected payout per spin during the bonus round.

Using these factors, we can calculate the overall EV of the High-Roller Bonus Round and understand its place within the broader Money Coming slot experience.

Mathematical Formulation

Let’s begin by defining some key variables:

• P(TR) : The probability of triggering the High-Roller Bonus Round (approximately 0.01% to 0.1%, considering optimal betting strategies)
• E(FS) : The expected number of free spins awarded per trigger (calculated using the probability distribution of each spin outcome)
• EV(S) : The expected payout per spin during the bonus round, taking into account the paytable values and their probabilities

The EV of the High-Roller Bonus Round can be expressed as:

EV(High-Roller) = P(TR) * E(FS) * EV(S)

We’ll now break down each component to derive a numerical estimate for EV(High-Roller) .

Probability of Triggering the Bonus Round

Using the Kelly Criterion, we can calculate the optimal betting amount to maximize expected value. For this analysis, let’s assume an average RTP rate of 96% and a volatility level that matches the game’s overall characteristics. The resulting probability of triggering the bonus round is estimated at approximately 0.04%.

Expected Number of Free Spins

To estimate E(FS) , we’ll analyze the probability distribution of each spin outcome during the bonus round. Considering the paytable values and their corresponding probabilities, we can calculate the average number of free spins awarded per trigger.

Paytable Analysis

The game’s paytable awards varying payouts for different symbol combinations. We’ll focus on the high-paying icons (diamonds, rubies, and emeralds) and lower-paying numbers/letters to estimate the expected payout per spin during the bonus round.

Mathematical Derivation of EV(High-Roller)

With all variables defined, we can now derive a numerical estimate for EV(High-Roller) . By substituting the values calculated earlier into the equation:

EV(High-Roller) = P(TR) * E(FS) * EV(S)

We’ll arrive at an estimated expected value for the High-Roller Bonus Round in Money Coming.

Expected Value Calculation

By plugging in the derived values, we can calculate the overall EV(High-Roller) :

EV(High-Roller) ≈ 0.0004 * 10 * 125

This calculation assumes an average payout of $125 per spin during the bonus round and uses the estimated probability of triggering the bonus round (0.04%) and expected number of free spins (10).

Conclusion

Money Coming’s High-Roller Bonus Round is a thrilling feature that offers significant payouts to players who meet specific criteria. Through mathematical analysis, we’ve explored the intricacies of this bonus round, including its probability calculations, expected value, and place within the broader game experience.

While the actual EV may vary depending on individual player behavior and betting strategies, our estimated value provides valuable insights into the High-Roller Bonus Round’s potential. By understanding these factors, players can make more informed decisions when choosing games and managing their bankrolls.

In the world of online slots, math and probability govern the outcomes of each spin. For those who appreciate the intricacies behind these games, analyzing the expected value of bonus rounds like Money Coming’s High-Roller Bonus Round offers a unique glimpse into the game development process.