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Behind the scenes: The intricate mathematics of casino games and odds

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Go beyond good luck to where mathematics plays a role in your chances of winning and losing casino games.

We all know that playing casino games is entertainment, and winning is a fun secondary experience, as it's entirely unpredictable, and success is all about the luck of the draw.

Have you ever wondered what factors determine the level of randomness in a specific game? And what mechanics dictate the fairness of these outcomes?

That’s where the smart software providers creating casino games come into the picture. The mechanics behind casino games are all based on intelligent mathematics.

All tremendous online casinos ensure that these mathematics-fuelled creations run as they should with third-party auditors and software to keep every win as fair as possible. Crypto casinos have gone one step further with provably fair technology to help you track your outcomes better.

Let’s quickly examine the science behind casino games and how they function.

The mathematics of online slots

The random nature of online slots is a huge draw, as anyone can win that staggering progressive jackpot or log off with an empty balance. It’s unexpected, exciting, and no skill is required to spin the reels.

Behind every online is a Random Number Generator. This is what determines the outcomes for all online casino games.

RNG for online slots determines that every spin will spit out a win based on the RTP, volatility and number of pay lines.

  • RTP – The return to player percentage is the total expected to be paid out over thousands of spins. If the RTP of a slot is 96%, the slot will pay out €96 for every €100 bet overall.
  • Volatility – Low volatility slots pay out more often but at lower rates, while high volatility slots pay out less frequently, but the wins are more substantial.
  • Paylines – The number of symbols multiplied by the number of reels on a slot determine the paylines. If a slot has 3 reels and 20 pay lines on each reel, there will be 8000 ways to create winning combinations.

Card games and probability

Card games are interesting whether you’re playing classic online table games or dabbling in live dealer casino titles. The probability behind winning games like Poker is about more than just simple math – as it is with slots.

These games take skill and strategy to use the random nature of each card drawn, dice roll, or spin of the roulette wheel.

Once the unexpected outcome has been determined, it’s up to players to use their mathematics to predict the probability of the next card appearing or how the dice roll can be used to their advantage.

It’s not that the mathematics of the game can be manipulated, but rather that players must then use skill to make those mathematics for them.

A game such as Poker isn’t challenging to learn, but mastering the ability to see the probability of how the game will play out is what takes years.

Understanding the house edge

Whatever game you play, the house edge is always the determining factor behind winning and losing. The house edge goes hand in hand with RTP, as it’s the other side of the coin.

If the RTP of any casino game is set at 96%, the house edge is 4%. The higher the house edge, the less the scales tip to your advantage. The higher the RTP, the more likely you are to land a win.

But remember – no win is ever guaranteed. No matter how good the probability of winning may seem, only Lady Luck can honestly decide if the mathematics will be on your side.

Published: January 8, 2024

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Article by Polly

CasinoWow Contributor

Hey guys, my name is Polina but my friends and colleagues call me Polly. I am truly passionate about online casino gaming and exploring the different online gambling experiences. I'm really into diving deep into topics and researching all the details. My aim is to gather the best information and write interesting articles for all the readers at CasinoWow.

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