BLOG

Delving into the Math Behind Gates of Olympus Super Scatter: A Technical Analysis

Posted on by Khuong Duy

Delving into the Math Behind Gates of Olympus Super Scatter: A Technical Analysis

The world of online slot machines has become increasingly popular in recent years, with countless games available for players to choose from. Among these, one game stands out due to its unique features and mechanics – Gates of Olympus gatesofolympus-super-scatter.com by Pragmatic Play. Specifically, we’ll be focusing on the Super Scatter feature within this game, which is where things get really interesting mathematically speaking.

Game Overview

Before diving into the technical analysis, it’s essential to understand the basics of the game. Gates of Olympus is a 6-reel online slot with up to 4 rows and 100 fixed paylines. The minimum bet starts at $0.20, while the maximum bet reaches $200 per spin. As for volatility, it’s rated as medium-high, which means you can expect decent wins but also be prepared for longer dry spells.

One of the standout features of Gates of Olympus is its use of a "falling" reel mechanism, where symbols drop from above and replace existing ones. This creates an avalanche effect, with each win triggering multiple respins and increasing winning potential.

The Super Scatter Feature

Now that we’ve covered the game’s fundamentals, let’s focus on the Super Scatter feature – a truly unique aspect of Gates of Olympus. The game has three types of scatter symbols: mini, major, and super. Each one has distinct characteristics:

  • Mini Scatters : Award 15 free spins with a multiplier of x5.
  • Major Scatters : Grant 20 free spins with a multiplier of x25.
  • Super Scatters : Give 10 free spins with an increasing multiplier, starting at x1 and doubling each time until it reaches x2048.

The Super Scatter is the most lucrative option due to its escalating multiplier. However, it’s essential to note that higher multipliers come with a lower frequency of occurrence.

Understanding RTP

One crucial aspect of any slot machine is Return-to-Player (RTP) percentage. It represents the amount of money the game pays out in winnings compared to the total bets placed over time. Gates of Olympus boasts an RTP of 96.58%, which is respectable but not exceptional.

To put this into perspective, consider the following example:

  • A player wagers $100 and wins $64.58 (96.58% RTP).
  • The remaining $35.42 ($100 – $64.58) goes towards paying for the game’s operational costs, marketing, and other expenses.

The Mathematics Behind Super Scatter

Now that we’ve covered the basics of Gates of Olympus and its RTP, let’s delve into the math behind the Super Scatter feature. We’ll use a combination of probability theory and mathematical modeling to gain insight into this complex mechanic.

Probability of Triggering Super Scatter

To understand the likelihood of triggering the Super Scatter, we need to analyze the game’s mechanics:

  • The Super Scatter has a 1/1000 chance of appearing on any given spin.
  • Each reel contains 4 symbols: mini scatters, major scatters, regular symbols, and wilds.

Assuming an evenly distributed probability for each symbol type on each reel, we can estimate the likelihood of triggering the Super Scatter as follows:

[ P(Super\ Scatter) = \frac{1}{1000} \times (P(Mini)\ +\ P(Major)) ]

Where P(Mini) and P(Major) represent the probability of getting a mini or major scatter on any given spin.

Expected Value Calculation

The next step is to calculate the expected value (EV) for each free spins session triggered by the Super Scatter. We’ll assume that 1/1000 spins will trigger the feature:

[ EV\ = \frac{10}{1000} \times (x2048\ -\ x5) + \frac{15}{1000} \times (x25\ -\ x5) + \frac{20}{1000} \times (x1) ]

This formula accounts for the average return from each type of scatter, weighted by their respective probabilities.

Mathematical Modeling

To further analyze the Super Scatter feature’s math, we can use a Monte Carlo simulation. This involves generating a large number of random inputs and calculating the resulting EVs:

[ EV {Simulated} = \frac{1}{N}\sum\limits {i=1}^{N}EV_i ]

Where N is the total number of simulations.

By running multiple iterations, we can get an idea of how well our expected value estimate holds up in practice.

Conclusion

In this article, we’ve dived into the math behind Gates of Olympus’s Super Scatter feature. We covered the game’s fundamentals, analyzed its RTP, and developed a mathematical model to understand the probability and expected value associated with triggering the Super Scatter.

While this analysis provides valuable insights into the mechanics of Gates of Olympus, it’s essential to remember that individual results may vary due to factors like volatility and luck. As with any online slot machine, there’s always an element of chance involved.

Keep in mind that mathematical modeling is a complex field, and our calculations should be taken as a general approximation rather than exact truth. To get the most out of this analysis, combine it with your own experience and research to form a well-rounded understanding of Gates of Olympus’s Super Scatter feature.

Whether you’re an experienced player or just starting out, we hope this article has provided valuable insights into the math behind this captivating game.

Khuong Duy