Some players open an account, spin the reels of a slot ten times and walk away with a big prize. Not necessarily millions, but certainly a solid payout. For others, though, the story is quite different. They’ve been betting for some time and still haven’t managed to hit the win they’re chasing.
This naturally raises the question: why does this happen? Do the chances of winning increase the more you play, or do they actually shrink? That, in essence, is what the concept of “distance” in betting refers to. But to grasp it properly, one must first understand how probability and variance work in games of chance.
Distance and Other Key Concepts
If you’re playing on leading sites, like those listed by Legalcasino, a platform specialising in online casino reviews, you’ll usually find clear information about the games. In most cases, it comes down to two key indicators for each slot: the RTP and the volatility. That’s usually enough to give you a solid idea of what to expect.
If you know the RTP (Return to Player), you automatically know the house edge – essentially its opposite. The house edge is a mathematical advantage that reflects the expected long-term loss. For example, if a slot has an RTP of 96%, then the house edge is 4%. In practical terms, this means that for every £100 wagered, you would theoretically get back £96 and lose £4. However, reaching that precise outcome requires thousands of bets to balance out.
That is what distance refers to: the gap between the very first wager and the point at which the house inevitably prevails. Along that journey, however, another crucial factor comes into play – variance, which is closely tied to volatility. Volatility shows how often wins occur and how large they tend to be. High volatility means big but infrequent payouts, whereas low volatility offers smaller but more regular wins.
In the short term, outcomes are shaped by variance – or, to put it more plainly, by luck. As you travel along that distance, you may win or lose more than expected. This is why there are both big winners and big losers. Yet over time, luck fades from the equation, and the house edge takes over.
Implications of Distance in Casinos
Although there isn’t a fixed number and each game has its own mathematics, the following scale – with a few examples – helps to illustrate the idea.
Short distances (5–100 bets).
At this stage, randomness reigns supreme. What might happen?
• Hitting red ten times in a row on roulette.
• Landing the jackpot on the fifth spin of a slot machine.
• Losing fifteen consecutive hands of blackjack.
Moderate distances (1,000–10,000 bets).
Variance still plays a significant role, but trends begin to emerge that align with expectations. For example:
• After 1,000 rounds betting £1 on red in European roulette (with a 2.7% house edge), you might be down £50 or up £30.
• After 5,000 spins on a slot with a 96% RTP, your actual return could fall anywhere between 92% and 102%.
Long distances (10,000–100,000+ bets).
From this point onwards, results become far more predictable and fall in line with the mathematical expectation. Variance doesn’t disappear, but its influence is no longer significant. Using the same examples:
• After 100,000 rounds of betting on European roulette, your total loss is likely to be between £2,500 and £3,000.
• After 50,000 slot spins, your actual return will sit between 95% and 97%.
At this stage, the house edge firmly outweighs variance.
Why Is It Important to Understand These Concepts?
Why bother with all this talk of variance and distance? Because without it, bankroll management becomes little more than blind hope. Knowing how swings work helps you stay disciplined when luck is on your side and, more importantly, when it isn’t. A big win might feel like a golden ticket, but in the long run, the house edge will politely take back its share.
The reverse is just as common – strings of losses that make winning seem like a myth, when really it’s just probability doing its job. After such runs, you might claw some of it back, but only if your budget hasn’t already tapped out. In short, these concepts don’t change the odds, but they do change how prepared you are to face them – which, in gambling, is half the battle.
