Exploring the Math Behind Geisha’s Revenge’s Paytable and Winning Combinations
Geisha’s Revenge is a popular online slot machine developed by Microgaming, one of the leading software providers in the industry. This game has been thrilling players with its beautiful geisha-themed graphics and rewarding gameplay features since its release. However, beneath its elegant here surface lies a complex mathematical structure that determines the odds of winning and the payout potential of this game. In this article, we will delve into the math behind Geisha’s Revenge’s paytable and winning combinations to provide a deeper understanding of how this slot machine operates.
Paytable Analysis
A key aspect of any slot machine is its paytable, which outlines the different symbol combinations that result in payouts and their corresponding prize amounts. The Geisha’s Revenge paytable consists of various symbols, each with unique payout values based on the number of matching symbols landed during a spin.
High-Paying Symbols
The high-paying symbols in Geisha’s Revenge include the geisha herself, who offers the highest single-symbol payout of 10,000 coins. Other high-paying symbols include the dragon (5,000 coins), cherry blossom (2,500 coins), and the golden coin (1,200 coins).
Low-Paying Symbols
The game also features low-paying symbols such as the standard playing card values – Ace through Ten – which offer significantly lower payouts ranging from 50 to 250 coins for five matching symbols.
Wild Symbol
Geisha’s Revenge includes a wild symbol represented by a golden geisha. This symbol can substitute for any other symbol on the reels, except for the scatter symbol, to create winning combinations and increase player winnings.
Scatter Symbol
The game’s scatter symbol is the cherry blossom. Landing three or more of these symbols anywhere on the reels triggers the free spins bonus feature, which awards up to 50 free spins with a 2x multiplier.
Free Spins Bonus Feature
During the free spins feature, all winning combinations are multiplied by two, and players can retrigger the feature by landing additional cherry blossom scatter symbols. This feature offers significant potential for high-paying wins and is an essential component of Geisha’s Revenge’s gameplay.
Math Behind Winning Combinations
The paytable and winning combination math in Geisha’s Revenge are based on a probability-based system, where each symbol has a unique probability of landing during a spin. The game uses a random number generator (RNG) to ensure that every outcome is independent and unpredictable.
Probability of Landing Symbols
Each symbol in the game has its own probability of landing, which is determined by the game’s programming and RNG. For example, the geisha symbol might have a 0.15% chance of landing on each reel, while the Ace symbol might have a 2.5% chance.
Expected Value
To calculate the expected value (EV) of Geisha’s Revenge, we need to consider the probability of each symbol combination and its corresponding payout. The EV represents the average return to player over an infinite number of spins.
Using the probabilities outlined above, we can calculate the EV for the game as follows:
- Geisha: 0.15% x 10,000 coins = -1.50
- Dragon: 0.12% x 5,000 coins = -0.60
- Cherry Blossom: 0.20% x 2,500 coins = -0.50
Wild Symbol Contributions
The wild symbol, represented by the golden geisha, can contribute to winning combinations in two ways:
- Substitution : The wild symbol can substitute for any other symbol on the reels, except for the scatter symbol.
- Multiplier : When multiple wild symbols appear together, they create a multiplier that increases the payout of the combination.
Calculating Wild Symbol Contributions
To calculate the contribution of the wild symbol to winning combinations, we need to consider its probability and potential payouts. Assuming an average 5% chance of landing on each reel, the expected value of the wild symbol can be calculated as follows:
- Substitution: 0.05 x (10,000 + 5,000) = -150
- Multiplier: 0.02 x (25,000) = -50
Scatter Symbol Contributions
The scatter symbol, represented by the cherry blossom, triggers the free spins bonus feature when three or more appear anywhere on the reels.
Calculating Scatter Symbol Contributions
To calculate the contribution of the scatter symbol to winning combinations, we need to consider its probability and potential payouts. Assuming an average 0.2% chance of landing on each reel, the expected value of the scatter symbol can be calculated as follows:
- Free Spins: 0.02 x (10,000) = -20
Total Expected Value
To calculate the total expected value of Geisha’s Revenge, we need to combine the expected values of all symbols and features.
EV (Geisha’s Revenge) = EV (High-Paying Symbols) + EV (Wild Symbol) + EV (Scatter Symbol)
Using the calculations outlined above, we can estimate the total expected value as follows:
EV (Geisha’s Revenge) ≈ -1.50 + (-150) + (-20) ≈ -171.50
Conclusion
In conclusion, Geisha’s Revenge offers a unique combination of high-paying symbols, wild and scatter symbols, and a free spins bonus feature that contribute to its exciting gameplay experience. By analyzing the math behind the paytable and winning combinations, we can gain a deeper understanding of how this game operates.
While the total expected value may seem low at -171.50, it’s essential to note that Geisha’s Revenge offers significant potential for high-paying wins during the free spins feature. Players should approach this game with a balanced strategy, taking into account both its volatility and payout structure.
Ultimately, understanding the math behind Geisha’s Revenge will enable players to make informed decisions about their gameplay and maximize their chances of winning. Whether you’re an experienced gambler or just starting out, exploring the intricacies of this game can lead to a more rewarding experience at the reels.
