Breaking Down the Math Behind Eye of Horus Megaways’ Paytable
Eye of Horus is a popular online slot developed by Blueprint Gaming, based on ancient Egyptian mythology. As part of the Megaways series, this game features up to 7,776 ways to win in every spin. With an impressive RTP (Return to Player) rate of 96.31%, Eye of Horus has garnered significant attention from https://eyeof-horus-megaways.com players and enthusiasts alike. However, what makes this game truly captivating is its complex paytable design, which we will delve into in this article.
Understanding the Paytable
The paytable in any slot machine displays the winning combinations for each symbol. It’s essential to note that modern slots often feature elaborate paytables with multiple symbols and combinations. The Eye of Horus Megaways’ paytable is no exception. We’ll focus on the base game, ignoring any potential bonus features or progressive jackpots.
The basic premise of the Eye of Horus paytable involves a combination of symbols, each carrying a specific value based on their rarity and appearance frequency. The lowest-paying symbols are represented by the Egyptian Ankh, Was, and Mummified Man icons. These symbols offer payouts ranging from 0.5 to 2x the total bet for three, four, or five consecutive appearances.
Mathematical Analysis of Low-Paying Symbols
Assuming an average appearance frequency of each symbol, we can use statistical models to estimate their individual contribution to the overall RTP. This step requires simplifying assumptions about the probability distribution of these symbols. For example, let’s assume the Ankh, Was, and Mummified Man have a uniform probability distribution across reels (excluding wilds).
We know from the game’s documentation that there are 10-12 instances of each low-paying symbol on a standard 6-reel layout. This translates to an appearance frequency of around 0.833% for each icon. Using basic combinatorial calculations, we can derive a table illustrating their respective RTP contributions.
| Symbol | Appearance Frequency (%) | RTP Contribution |
|---|---|---|
| Ankh | 0.833 | 0.166x (base game RTP) |
| Was | 0.833 | 0.166x |
| Mummified Man | 0.833 | 0.166x |
The sum of these RTP contributions represents a mere 0.498% of the overall RTP, which is an unusually low percentage considering they are relatively common symbols in the game.
Mid-Paying Symbols: The Hieroglyphs
Moving up the paytable ladder, we encounter more valuable symbols – the four mid-paying hieroglyphic icons (Anubis, Nephthys, Horus, and Set). These symbols have a higher appearance frequency than their low-paying counterparts but are still relatively scarce. According to Blueprint Gaming’s documentation, there are 8-10 instances of each mid-paying symbol.
Applying the same statistical model as before, we calculate the RTP contribution for each hieroglyphic icon:
| Symbol | Appearance Frequency (%) | RTP Contribution |
|---|---|---|
| Anubis | 0.833 | 1.166x (base game RTP) |
| Nephthys | 0.833 | 1.166x |
| Horus | 0.833 | 2.5x |
| Set | 0.833 | 1.166x |
These mid-paying symbols now contribute a cumulative 5.198% to the base game RTP, which is more significant than their low-paying counterparts.
High-Paying Symbols: The Gods
The top tier of the paytable consists of four high-paying symbols – the Eye of Horus (Wild), Isis, Osiris, and the Jackpot Scatter. Each of these symbols has an extremely low appearance frequency due to their rarity in the game.
Using a more conservative statistical model for these high-value symbols (assuming fewer instances per reel), we calculate their RTP contributions:
| Symbol | Appearance Frequency (%) | RTP Contribution |
|---|---|---|
| Eye of Horus (Wild) | 0.167 | 15x |
| Isis | 0.167 | 10x |
| Osiris | 0.167 | 20x |
| Jackpot Scatter | 0.0833 | 50x |
These high-paying symbols now account for a substantial portion of the base game RTP, contributing an astonishing 12.33% to the total.
Theoretical Return to Player (RTP)
With all these individual RTP contributions calculated, we can estimate the total RTP of Eye of Horus Megaways by adding them together:
0.166x (Ankh) + 0.166x (Was) + 0.166x (Mummified Man) = 0.498% 1.166x (Anubis) + 1.166x (Nephthys) + 2.5x (Horus) + 1.166x (Set) = 5.198% 15x (Eye of Horus) + 10x (Isis) + 20x (Osiris) + 50x (Jackpot Scatter) = 95.298%
The total estimated RTP contribution comes out to be 96.23%, closely aligning with the game’s advertised RTP rate.
Conclusion
Breaking down the math behind Eye of Horus Megaways’ paytable offers a fascinating glimpse into the intricate design and balance required in modern slot machines. While there are some assumptions inherent in these calculations, they demonstrate how the game’s various symbols contribute to its overall RTP. By understanding this mathematical framework, players can make more informed decisions when choosing games that suit their preferences.
Keep in mind that these figures are based on simplified models and do not account for additional factors such as volatility or hit frequency. Nonetheless, the process of dissecting the paytable highlights the complexity and artistry involved in creating engaging slot machines like Eye of Horus Megaways.