Behind the Scenes: The Intricate Mathematics of Casino Games and Odds

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 one is a Random Number Generator (RNG). This is what determines the outcomes for all online casino games.

RNGs are pieces of code that deliver a result each time you spin the reels or play a hand. They are hosted on the provider's server and even the casino doesn't have access.

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

Return to player percentage (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. Keep in mind that this counts the entire game's lifespan and all bets made, not just yours.

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. So, the latter may promise bigger wins, but they generally require more time playing and as you consider that each spin is separate from the one before or after, you have no guarantee you will get to those wins.

Paylines

The number of symbols multiplied by the number of reels on a slot determines the paylines. If a slot has 3 reels and 20 pay lines on each reel, there will be 8,000 ways to create winning combinations. However, more paylines don't necessarily mean better chances, because of the RNGs and the fact that each spin is unique, regardless of the lines.

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.

What game has the best odds

That would be Blackjack. The game could come with a house edge as low as 0.5%.

Generally, table games come with better odds (i.e., the lower house edge, which we explain below). Plus, they require skills, besides luck, which could tip the scales further in your direction. However, they also tend to pay less, especially when compared to slots.

Those huge wins you see online most commonly come from slots, which in turn tend to offer worse chances, as they rely entirely on luck and the house edge is a bit bigger (around 4% as an industry average).

So, that's the conundrum: should you play a game that promises better chances for wins (not guaranteed, though), but smaller rewards, or go in hard and try your luck for the bigger prizes, but you know you have little chance to get to them?

The answer is that you should play for fun, whatever you like. Winning is great, but that's the bonus of casino games, not the goal. Remember that, because if you don't, you're headed on a slippery slope to danger.

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.

This percentage may not feel like much, but the truth is that the casino doesn't need to win every hand, just some of them over time are enough to give it that edge it needs.

There are no rules or cheat codes that could help you bring down the house edge and improve your chances. There are a few things, though, you can do to maximise your gameplay and thus, up your chances for rewards:

Understand the game, get to know the rules, and have a strategy in place.
Hone your skills and use tips and methods to perfect your gameplay.
Use a proper bankroll management plan as well, as there's no way of strategising when you've depleted your funds at the beginning.

However, having a strategy and better skills won't make a difference if you play online slots, where it all comes down to luck. So, what is it about them that makes them the top choice for playing among punters all around the world?

The promise for something huge, different, and great that is one ounce of luck away. We get it, you probably do, too. However, as fun and alluring as they are, you should always remember that these games are just this: games, not the answer to quick riches.

After all, odds are a long-term outcome. When you play, short-term results vary and are a lot more reliant on luck. So, 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. So, have fun, enjoy the ride, and don't focus on winning, but the game and the experience.

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By Polly

Verified Casino Expert

Expertise: Content Writing, Social Media Management, Online Casino Games, Iceland & Norway Gambling Markets

Hey, I'm Polly! I review casino games, run CasinoWow's social media channels, and dig deep into gambling content research. If there's a new game worth playing, a trend worth covering, or a story worth sharing, I'm already on it.

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