Roulette Statistics Explained: Expected Value and Variance by Bet Type

Most players know how to place a bet in roulette. Fewer know how each bet behaves over time. Behind every spin, there is a fixed set of outcomes and a set of numbers that actually shape your chances in real time. If you understand them, then you start to see why the game plays out the way it does.

European roulette has 37 pockets: numbers 1 to 36, plus a single zero. That is the version you’ll find in most of the online casinos and in real games of live roulette in Australia, where rules follow the standard layout. Because every spin has 37 possible outcomes, the math stays consistent – and that helps you compare bets properly.

In the table below, you’ll see how common bet types stack up. We’re looking at three key numbers for each one: the chance it wins, its expected value, and its standard deviation – which shows how much your results are likely to swing.

Bet Type (European) Win Chance Expected Profit per $1 Bet (EV) Standard Deviation (Swing Size)
Red / Black 48.65% –$0.027 ~$1.00
Dozen / Column 32.43% –$0.027 ~$1.40
Corner 10.81% –$0.027 ~$2.80
Street 8.11% –$0.027 ~$3.27
Split 5.41% –$0.027 ~$4.07
Straight-Up 2.70% –$0.027 ~$5.84

What you’ll notice is this: every bet has the same expected loss – about 2.7 cents per dollar. But not all bets feel the same. Some swing a little, some swing a lot. That’s where variance comes in, and why tools like Roulette77 often point to these stats to explain why certain bets feel safer or riskier – even if the long-term average is the same.

Five Core Ideas That Keep Showing Up

Roulette uses a limited number of outcomes, so statistics like expected value and variance can be calculated exactly. These concepts are often used by sites like Roulette77 to explain why different bets produce different experiences at the table.

Here are the five core ideas that apply to every roulette bet:

  1. Probability – This tells you how often your bet is likely to win.
  2. Payout – The return offered if a bet wins.
  3. Expected Value (EV) – The average amount gained or lost per bet over many rounds.
  4. Variance – This measures how wild or steady your results tend to be.
  5. Standard Deviation – The square root of variance, showing how far typical outcomes move from the average.

Together, they give you a full picture of what to expect.

What Expected Value Actually Tells You

Let’s make this simple. Expected value (EV) is what you’d win or lose on average if you placed the same bet hundreds or thousands of times. It doesn’t say what will happen today. But it tells you where things trend in the long run.

Here’s an example. If you bet $1 on red, your chance of winning in European roulette is 18 out of 37. If you win, you get $1 profit. If you lose, you lose the $1 you bet.

The EV for that is:

  • (18/37 × +$1) + (19/37 × –$1) = –$0.027

That’s a 2.7 cent loss for every $1 bet, on average. And that number stays the same across most bet types – even if the payouts and win chances change. The house edge in European roulette is always about 2.7%, and every payout is set to reflect that.

Why the House Edge Never Really Changes

No matter where you bet – red, a corner, a single number – the house edge stays locked in. It’s built into the payouts.

Take the straight-up bet. You’re betting on one number out of 37. True odds would suggest you should win 36:1. But roulette pays 35:1. That missing one unit? That’s the house edge in action.

How Variance Explains the Ups and Downs in the Game

Variance shows how bumpy your ride can be. Some bets win often and lose little – they feel calm. Other ones lose often but hit big when they win – they feel wild.

Even-money bets like red or black give you wins nearly half the time. Your bankroll moves up and down, but not wildly. Straight-up number bets win only about 3% of the time, so you can go 30 spins without a hit, then suddenly win 35 times your stake.

Standard deviation gives us a way to measure that. In short, the higher it is, the bigger the average swing.

A $1 bet on red has a standard deviation of about $1. A $1 bet on a single number? That jump is almost $6 per spin – six times the impact. The average loss is still just $0.027 either way, but how you get there feels completely different.

Why Risk Isn’t Just About the Bet Size

You could bet $10 on red or $10 on a single number – same stake and same house edge – but the ride is totally different. One gives you a good shot at a steady return. The other might pay nothing for ages, then jump high all at once.

Players often think of risk in terms of how much they’re betting. But in roulette, where you bet changes risk even more than how much. Variance is the number that shows this – and understanding it can help you avoid betting in ways that feel worse than you expected.

How You Can Use This to Play Smarter

Stats won’t guarantee a win. But they help you think clearly – and that makes a big difference. If you know your expected value, you know what the house edge is costing you over time. If you know your variance, you know what kind of swings to expect.

This matters for:

  • Bankroll planning – Smaller bets on high-variance bets go a long way. Larger bets are safer on low-variance ones.
  • Session control – You’ll be less surprised when a streak happens – good or bad.
  • Wheel choice – European roulette gives you better odds than American. French roulette with “La Partage” gives back half your bet on zero – lowering the edge even more.

Roulette77 and similar educational tools often explain these ideas because they help people play with more awareness. The goal isn’t to win every spin. It’s to understand what each bet means, so you’re not playing blind.

Trending

Arts in one place.

All our content is free to read; if you want to subscribe to our newsletter to keep up to date, click the button below.

People Are Reading