Atlassino Academy · How casinos work · Lesson 5 of 8
One night versus a thousand
An hour at a losing bet ends in front about a third of the time. A thousand bets almost never does. Same wheel, same bet — the only difference is how many times the house edge has been charged.
Lesson 5 of the how-casinos-work track. You already know the house edge (the share of every dollar bet the casino keeps on average, over many rounds). And the price of an hour (bet, times rounds an hour, times the house edge: what an hour of a game costs on average). Now the awkward part: the house edge is taken out of every single spin, and people still walk out in front all the time — not once in a blue moon, but on an ordinary Friday. So what does an evening that ended in front actually tell you about the person who played it?
You and the person beside you play the same hour at the same wheel, the same bet. You end behind; they end in front. Which of you played the hour better?
Your hour6 bets behind
The hour beside you6 bets in front
Two real hours at the same double-zero wheel, 38 spins each, the same bet. Only the order of the pockets differed: one tick a spin, coloured in for a spin that paid.
The short answer
An hour of red or black at a double-zero wheel ends in front 31.3% of the time, and dead level another 12.2% of the time. Stretch that same flat bet to a thousand spins and the share still in front falls to 4.5%. Stretch the same bet to a hundred hours and the share still in front is 0.1%. Not one of those three shares has anything to do with the person holding the chips.
Leoformer dealer · rules and maths
I dealt for years, and the sentence I heard most at the end of a shift was some version of “tonight worked”. It never did work, and it never could: one night is a single draw out of a very wide bag, and it is the same bag whoever reaches into it.
That is why I would rather look at the same hour a hundred times over than at any single hour, including the one I have just dealt you. Ten evenings of one person tells you a little more than one evening does. A thousand bets in a row tells you nearly everything — and what it tells you is about the wheel, not about the person making the bets.
One hour, a hundred times
Start with the plainest bet in the room. Put a chip on red: if the ball lands in a red pocket, the wheel hands your stake back and the same amount again, and if the ball lands anywhere else the chip is gone. Here are all 38 pockets the ball can land in, one block each.
18 pay you18 pay the other colour2 green, and green pays nobody
That green pair, and nothing else in the whole machine, is the 5.26% the house keeps on this bet.
A wheel also has a pace, and the pace has a name: the rounds an hour (how many rounds a table gets through in an hour, which is what turns a bet into an hourly cost). At a double-zero wheel that pace is 38 spins an hour, and the house edge is charged on each of those spins separately — not once at the start of the evening, and not once at the end. Play that same hour a hundred times over, and the hundred hours land like this.
in front 31.3%exactly level 12.2%behind 56.5%
A hundred hours at the same wheel, the same flat bet on every spin. The average result of an hour at this wheel is 2 bets behind, and finishing 2 bets behind is also the single commonest way for one of these hours to end: 12.9% of the hundred hours land on that exact result.
Leoformer dealer · rules and maths
Look at that bar again, because the coloured part of it — the hours that ended in front — is the part that gets narrower every time the run of the same flat bet gets longer. Roughly a third of the hours ending in front is not a loophole somebody clever found. It is what a bag with two green pockets in it does to a hundred people who all did exactly the same thing.
Which result is the ordinary one
Go back to those two hours at the wheel: one ended 6 bets in front, the other 6 bets behind. Are the two hours mirror images of each other?
6 bets or more behind31.4%
6 bets or more in front12.8%
How often an hour at that wheel ends at least that far from level, counted behind and counted in front. The two bars are drawn on the same scale, so the longer bar is the commoner hour.
An hour that far from level is about two and a half times likelier to be behind than in front, and that lean is the house edge: it tilts the whole picture of a hundred hours a little to the left.
| At least this far from level | Hours behind | Hours in front |
|---|---|---|
| 4 bets | 43.7% | 20.8% |
| 8 bets | 20.9% | 7.2% |
| 12 bets | 7.1% | 1.7% |
Every row is the same hour at the same wheel; only the distance from level changes from row to row. Read the two columns down together and both columns thin out, but the hours in front thin out faster than the hours behind: the further from level you look, the more the hours behind outnumber the hours in front.
So an hour that ended in front gets retold for weeks, and an hour that ended behind is forgotten by Tuesday. Ending in front is simply the rarer of the two endings — and being rare is not the same thing as being earned, because nothing either person at that wheel did changed which pockets the ball found.
What a thousand bets does to the picture
Two things grow as an evening gets longer, and they do not grow at the same speed. The first is the loss, and the loss keeps exact step with the spins: every spin is charged the same house edge, so the average result slides further behind level in a straight line.
The second thing that grows is the swing: how far an ordinary run happens to wander either side of the average result. The swing grows much more slowly than the loss. Early on the swing is wide enough to cover the loss completely; later it is not, and here is what that looks like at five lengths of run.
38 spins · one hour31.3% in front
380 spins · 10 hours14.0% in front
1,000 spins · 26 hours4.5% in front
3,800 spins · 100 hours0.1% in front
10,000 spins · 263 hours0.0% in front
in frontexactly levelbehind
The coloured part of each bar is the runs still in front. A thousand spins is about 26 hours at a table, which is an hour every Friday night for half a year.
None of this means that a losing run is due a good one: a wheel has no memory at all — Do cards, dice and wheels remember? is the one next door. The house edge never changed; what ran out is the room the swing had to hide the house edge in.
The cheaper the bet, the longer it hides
A much cheaper even-money bet sits a few steps away: the pass line at craps, the bet you put down before the first roll of a round. It charges 1.41% of each bet, where a double-zero wheel charges 5.26%.
A double-zero wheel, red or black5.26% of each bet
The pass line at craps1.41% of each bet
Drawn on the same scale: the pass line costs roughly a quarter of what a double-zero wheel costs.
Lining the two bets up against each other takes one more step, because a spin of a wheel settles in that one spin while a single pass-line bet can take several rolls of the dice to settle. An hour of clock time is therefore not the same amount of play at the two tables.
One hour at a double-zero wheel38 spins
One hour at the craps pass line18 settled bets
An hour at the craps table settles more bets than an hour at the wheel spins. So the two prices can only be set against each other bet for bet, and never hour for hour.
| Bets | In front: wheel, 5.26% | In front: pass line, 1.41% |
|---|---|---|
| 100 | 26.5% | 40.5% |
| 380 | 14.0% | 37.2% |
| 1,000 | 4.5% | 31.6% |
| 3,800 | 0.1% | 18.7% |
| 10,000 | 0.0% | 7.7% |
At the wheel the share still in front collapses inside a few hundred bets; at the pass line a large slice is still in front after several thousand.
The pass line and the double-zero wheel end in the same place, only later: a cheaper price buys a longer disguise, and a long, handsome record at a cheap bet is the easiest thing in the room to mistake for skill. Neither bet is a recommendation here: House edge of every bet prices every bet in the building, bet by bet.
Practice: a hundred evenings
Each round of practice shows finished play in full, either one person’s or three people’s at once: the individual spins as a row of ticks above, where there is room to draw them, and underneath a running count of how far in front or behind the play stood after every spin. Your job is to read that finished run against the hundred runs of the same length it was drawn from. Level 1 shows three runs of three different lengths, all three ending in front; level 2 shows ten evenings of one person; level 3 shows the same reading at a bet that charges a quarter as much.
Only level 1 is scored, and every square on the strip is one run of level 1. All the squares are there from the start, so the strip never grows or shrinks under you. When every square has been filled in, level 2 begins by itself. Levels 2 and 3 have no squares at all, because there the question has the same answer every time, and answering the same question ten times over would measure patience rather than understanding.
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Level 1 · Three runs
A double-zero wheel · the same flat bet · three runs, all three ending in front
Same wheel, same flat bet, three different lengths of run.
76 spins (2 hours)4 bets in front
38 spins (one hour)6 bets in front
190 spins (5 hours)8 bets in front
Three people played this wheel with the same flat bet, and all three finished in front. Which of the three endings in front is the most surprising one?
The answer: 190 spins (5 hours)
The longer the run, the less an ending in front says about the person who played it. Out of a hundred runs: 31.3% at 38 spins, 28.3% at 76 spins, 21.2% at 190 spins. Same wheel, same flat bet, the same house edge charged on every single spin — the only thing that differs between the three runs is how many times that house edge has been charged.
in front 21.2%exactly level 4.4%behind 74.4%
Level 2 · Ten Fridays
The same wheel, ten Fridays, one hour each · 38 spins an hour
Ten Fridays at the same wheel, an hour each.
On the total24 bets in front
After ten Fridays he is in front on the total, and he wants to make Friday at this wheel a habit because of that total. What does a ten-Friday record tell you about the way he plays?
The answer: Nothing about the way he plays.
Ten hours is 380 bets, and 14.0% of runs that long end in front of where they started — about 14 people in every hundred who play ten hours. Ten more evenings of the same length cost about $200 on average at an example bet of $10, which is the average cost of one hour from the lesson before this one, ten times over.
in front 14.0%exactly level 2.4%behind 83.5%
Level 3 · A cheaper bet
The pass line at craps · 18 decisions · one hour
An hour at the pass line, and the hour ended in front.
One hour2 bets in front
The pass line charges about a quarter of what a double-zero wheel charges. This hour at the pass line ended in front. Does an hour in front here say more about the person who played it than the same hour at the wheel would, or less?
The answer: Less than the same hour at the wheel.
At the pass line the house charges 1.41% of each bet against 5.26% at the wheel, and the difference shows in how long the swing keeps the loss out of sight. After 1,000 bets, 31.6% of runs at the pass line are still in front against 4.5% of runs at the wheel; after 10,000 bets the two shares are 7.7% at the pass line against 0.0% at the wheel. Both bets end in the same place. The pass line takes far longer to get there, and that is what makes a long, good-looking record at a cheap bet the easiest thing in the room to mistake for skill.
in front 38.4%exactly level 18.5%behind 43.1%
Every run in the practice table is worked out the same way: the run itself is a real draw from the outcome table of that bet, and the hundred runs it is read against are the exact distribution of that many bets rather than a hundred more draws.
How the practice table works
Where the runs come from. Every run is a real draw from the outcome table of that bet — the same one How long will it last? uses — drawn when the page is built, so the picture and the count cannot disagree. Runs are drawn until one ends the way the moment needs (all three in front on level 1, in front on the total on level 2), because that is the case being read; the order of spins inside a run is never arranged. Past sixty spins only the line is drawn — sixty ticks is about as many as a phone can show and still be read.
The hundred runs beside it are not a hundred more draws but the exact distribution of that many bets. A hundred draws would land near the true figure rather than on it, and the explanation would then be naming a number the picture did not show.
What is scored. Level 1, and nothing else. Levels 2 and 3 are a reference you page through: neither teaches a way of playing that a progress bar could measure.
Check yourself
Mayaformer floor supervisor · manners, money and breaks
Five quick ones. Pick an answer, then check it. No timer, no points: just whether it stuck.
And the question at the start
Neither of you played the hour better, and the question has no other honest answer. Out of a hundred hours played exactly that way, 31 finish in front, 12 finish exactly level and the rest finish behind. You and the person beside you drew two hours out of that hundred. The only thing that differed between the two of you was the order in which the pockets came up, and neither of you had any say in that order.
Where to check this
19+ (18+ in AB, MB, QC) · Play responsibly · the helplines for every province are at the end of this page
Further reading
The documents this track is written from, in full.
- Criminal Code, section 207: permitted lotteries · Justice Laws Website, Government of CanadaThe section that lets a province, and only a province, conduct and manage a lottery scheme — the sentence every casino in the country stands on.
- About Casinos BC · British Columbia Lottery Corporation (Casinos BC)Who conducts the gaming in one province and who runs the room, in the corporation’s own two sentences.
- Annual Report 2024–25 · Ontario Lottery and Gaming CorporationWhat a provincial gaming corporation publishes about itself: what it conducts, and what share of the money brought to the tables it keeps.
- Protecting the public · Independent Gambling Control Office, Province of British ColumbiaWhat a provincial regulator does, who is allowed to run the games, and where a complaint about a casino goes.
- Minimum Technical Standards for Gaming — 11. Game Behaviour · Alcohol and Gaming Commission of OntarioThe floor one regulator sets under a slot machine’s return, and its rule that the floor holds for every bet configuration.
- The house edge of casino games · Wizard of OddsWhere the house edge is defined, and the rating table of rounds an hour this track uses for every game.
Mayaformer floor supervisor · manners, money and breaks
Here is the practical half of this lesson. An hour that ended in front and an hour that ended behind, at the same wheel and at the same flat bet, are two draws out of the same hundred hours, and the order the pockets came up in is the whole of the difference between them. So write down the hours and the money you meant to spend before you leave the house (Game plan walks you through writing it down), and the next day read what you wrote instead of reading the result. The result was never going to tell you anything about the person who played it.
And what one of those hours costs in money rather than in bets is the lesson just before this one; Price of an hour works that cost out for your own bet and your own hours.
If it stops being fun
If gambling stops being entertainment, help is available. 19+ in most of Canada; 18+ in Alberta, Manitoba and Quebec. More on responsible gaming.
How it’s worked out
Sources, numbers and hosts
Sources. Two documents, and both sit behind the ⓘ buttons in the text: the definition of the house edge together with the published edge of a double-zero wheel, and the Las Vegas Strip rating table of rounds an hour, which Wizard of Odds says came from an executive at one large casino. No casino or regulator we could read publishes how many spins an hour a table gets through, so this page says whose figure it is using rather than implying a local one.
Numbers. Every figure is worked out when the page is built. The outcome tables of the two bets are taken from the published tool How long will it last? rather than written out again, so the lesson and the tool cannot drift apart; the share still in front after a given number of bets is the exact distribution of that sum, not a simulation of it. The shares count bets, never money: the only money on this page is one borrowed figure, the average cost of an hour, and the lesson before this one is where it is worked out.
The two example hours at the start. Both are real draws from the same outcome table as everything else here, drawn when the page was built, and then picked for their endings: one hour that finished exactly 6 bets behind and one that finished exactly the same distance in front, because that pair of endings is the thing the lesson compares. The order of spins inside each of the two hours is exactly as it was drawn, and no spin in either hour has been moved.
The swing. How wide the swing is has no figure anywhere on this page, in bets or in money. Putting a number on it needs a measure of spread, and that measure, along with what an evening can do to a set amount of money, belongs to the money-and-risk track. Here the swing is named, and what it does is shown by the share of runs still in front.
The model, stated plainly. Every figure here assumes the same flat bet on every round, exactly that many rounds, no change of size and nobody stopping early. Real evenings do none of those things, so these are shares of runs of this model — not shares of people. We have no figure for what share of visitors leave in front, and no operator we could read publishes one.
Hosts. Leo and Maya are illustrated characters. Their backstories, a former dealer and a former floor supervisor, are written for the course: neither is a real person, and neither speaks for any casino. The rules and numbers on this page come from the sources it cites, not from their experience.
No promise. Nothing on this page says that a cheaper bet is a good idea, or that a longer stretch of play is, or that an evening at a casino is. Every column in every table here ends in the same place.
What the house edge is
The house edge is defined as the ratio of the average loss to the initial bet
The house edge at a double-zero wheel
The house edge on all bets is 1/19, or 5.26%, except for the 0-00-1-2-3 combination, which carries a house edge of 7.89%.
Rounds an hour, and whose table this is
The following table shows the average hands per hour and the house edge for comp purposes various games.
The house edge figures are higher than those above, because the above figures assume optimal strategy, and those below reflect player errors and average type of bet made.
This table was given to me anonymously by an executive with a major Strip casino and is used for rating players.
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