ACT I · THE BIRTH OF ROULETTE
Every spin has a story.
Roulette means “little wheel” in French. But this little wheel has a remarkable past.
A disputed inventor. A game that crossed the Atlantic. And one missing zero that changed the odds.
The wheel turns. The ball travels the other way.
THE ORIGINS · FRANCE, 18TH CENTURY
Who invented roulette?
The surprising truth: nobody knows for certain.
Roulette began taking its familiar form in France during the 18th century, but its original inventor remains unknown.
1658 · PASCAL’S MATHEMATICAL WORK
Why Pascal gets the credit
The game is often credited to the French mathematician Blaise Pascal. But there’s a catch.
In 1658, Pascal published a work called Histoire de la roulette. Despite its name, it was about geometry, not gambling.
Pascal was studying a cycloid: the curve traced by a point on the edge of a circle as it rolls along a straight line. Imagine a dot of paint on a bicycle tyre and follow the arch it draws as the wheel rolls.
Follow the red dot. The arch it draws is a cycloid.
A closer look
THE ORIGINS · FRANCE, 18TH CENTURY
“Roulette” was also a name for the cycloid. Pascal studied its geometry and published work on it in 1658. That establishes what this document discusses. It does not establish that he invented the casino game. The distinction matters when a familiar origin story is repeated as fact.
There is no reliable historical evidence that Pascal invented the casino game.
To follow the game itself, we have to leave Pascal’s study and step into the gaming rooms of eighteenth-century France.
FRANCE · 18TH CENTURY
All eyes on the ball.
Leave Pascal’s geometry behind and step into a gaming room. Here, the question is much simpler: where will the ball stop?
During the eighteenth century, roulette took its familiar form in France. A wheel, a ball and a table of bets turned a single moment of uncertainty into a shared spectacle.
The wheel: The ball settles in one numbered compartment, called a pocket. That is the winning result.
The bets: Players choose what to back before the result: a number, a colour or another group of numbers.
The players: One ball gives everyone at the table the same result. Each person’s bet decides what that result means for them.
An imagined French gaming room · Late 18th century
A game with a story of its own.
By 1802, roulette was the title of a novel by the French writer Jacques Lablée. Its subtitle means “the story of a gambler”.
About the book
Jacques Lablée · La roulette, ou Histoire d’un joueur · Paris edition, 1802
The title translates as “Roulette, or the story of a gambler.” The edition identified here was published in Paris in 1802. It gives us a literary object from the period. Its publication date is not the date roulette was invented, and this room is an artistic reconstruction.
HOMBURG · 19TH CENTURY
One less zero. A different game.
The smallest change on the wheel made a measurable difference.
In 1841, twin brothers François and Louis Blanc opened a casino in Homburg, a German spa town. Their licence came with a deal: build a spa house and an English-style park.
Pocket-count comparison · Not a reconstruction of a nineteenth-century wheel.
François became closely associated with single-zero roulette: a wheel with one zero instead of both 0 and 00.
Remove the extra zero and a bet on a number from 1 to 36 has one fewer way to lose. The winning payout stays the same.
The house edge—the casino’s average share of money wagered over many bets—falls from 5.26% to 2.70% in this comparison.
A smaller house edge gives the player better odds, but the casino still has an advantage. It does not make the next spin predictable.
Single-number bet · 35:1 profit payout · Equally likely pockets
How the numbers work
HOMBURG · 19TH CENTURY
A winning 1-unit bet pays 35 units in profit and returns the original stake: 36 units in total. With 38 equally likely pockets, its average return is 36/38 of the stake. With 37, it is 36/37. The difference is the house edge. These are long-run averages for this bet, not a prediction for one spin.
MONACO · 1863–1879
A place worth the journey.
François Blanc’s next venture lay on the Mediterranean. In 1863, he took charge of the Société des Bains de Mer, the company developing Monaco’s casino resort.
The ambition reached beyond the gaming table: hotels, gardens and entertainment would give visitors reasons to arrive—and to stay.
1863 · The venture begins
Prince Charles III’s new company brings François Blanc to Monaco.
1866 · A name for the dream
On 1 June, the district receives the name Monte-Carlo.
1879 · The curtain rises
Architect Charles Garnier’s theatre opens, with actress Sarah Bernhardt at its inauguration.
Elsewhere, earlier…
NEW ORLEANS · 1835
Meanwhile, across the Atlantic.
Before Monte-Carlo had a name, roulette was already being described on the other side of the ocean.
In his 1835 travel book, Joseph Holt Ingraham takes us into a New Orleans gambling room: silver clinks, players call out, and a small ball rattles around a wheel.
“in one a single cipher, in the other two ciphers”
J. H. Ingraham · The South-West · 1835
Read the 1835 description
J. H. Ingraham · The South-West, Volume I · 1835
Ingraham describes “two squares additional, in one a single cipher, in the other two ciphers”. Here, “cipher” means zero. This is evidence of a double-zero wheel in his account of New Orleans. It does not tell us when roulette first arrived in America or what every American table looked like.
Cipher meant zero. His description includes numbers 1 to 36, plus 0 and 00. It is a glimpse of one table, not a date for the game’s first arrival in America.
Pocket-count diagrams · 1–36, with one zero or two
The story has branches.
Now look inside the wheel.ACT II · INSIDE THE WHEEL
Take the wheel apart.
What actually happens inside a roulette wheel?
The numbered disc spins inside a stationary wooden bowl. Meanwhile, a small ball travels around the outer track in the opposite direction. As the ball slows down, it drops toward the spinning numbers, bounces off obstacles and eventually lands in a pocket.
Take the wheel apart to see how it all works.
Single-zero study model · one design, seen layer by layer
01 · The bowl
The bowl is the fixed outer body. Its raised circular track carries the ball during the opening laps; the slope beneath leads towards the numbered disc.
02 · The rotor
The rotor is the inner disc that turns around the central spindle. The numbers and their pockets move together, while the outer bowl stays still.
03 · The pockets
A pocket is a small compartment that can hold the ball. Thin dividers separate neighbouring pockets. The number beside the pocket where the ball finally stays is the result.
A small obstacle. A big change of direction.
The raised bumps on the slope are deflectors: obstacles that interrupt the ball’s smooth path. A collision can send it bouncing towards the moving pockets.
The numbers have neighbours. Just not the ones you expect.
On this single-zero wheel, 0 sits between 26 and 32. Follow the ring and you will not count from 1 to 36. Its 37 places hold 18 red numbers, 18 black numbers and one green zero.
This is one conventional single-zero design. Real wheels vary: even the angle of the ball track and the depth of the pockets can differ between models.
07 · THE PHYSICS OF THE SPIN
A spin is a journey.
Two directions. One eventual resting place.
The dealer sends the ball around the outer track, opposite the spinning rotor. Follow it from the fast opening laps to the final bounce.
Illustrative motion · timing and bounces simplified
01 · Launch
The ball follows the circular track while the rotor turns the other way. The track keeps bending the ball’s path into a circle; the ball gradually loses speed.
02 · Descent
Once the ball is too slow to keep circling high on the track, it rolls down the sloping bowl under gravity. The rotor is still turning underneath.
03 · Deflection
A deflector or a pocket divider can change the ball’s direction. It may touch a pocket, bounce out and cross into another. The first contact is not the finish.
04 · Settle
Eventually the ball stays in one pocket and travels with the rotor. It has stopped moving relative to that pocket, even though the whole disc may still be turning.
Why watching is easier than predicting.
The ball’s starting speed, the rotor’s speed and the points of impact all matter. A small change can bring a different pocket under the ball when it arrives. Physics describes the motion; a short animation cannot predict a real spin.
Now you know the wheel. Next comes the table.
In the next chapter: where bets go, what the dealer calls and how to read a result.
ACT III · MASTER THE GAME
Your first spin.
The wheel gives one answer. Your chip decides which question you ask.
- 1 · Choose a table
- 2 · Choose a chip
- 3 · Place a bet
- 4 · No more bets
- 5 · Read the result
A guided round · practice chips
One zero. Thirty-seven answers.
Find the green 0. Our practice table covers 0–36 and accepts 1–100 chips per round.
Teaching example · the result is chosen to explain the payout.
0–36
01 · Read the table first.
Start with the zeros and the limits. A single-zero table has 37 possible results: 0 to 36. Check the minimum and maximum stakes before choosing a chip; limits can differ between bets. Here, you have 100 practice chips and an ordinary single-zero table.
02 · Give the chip a value.
A chip is an amount, not a prediction. At many live tables, players receive different coloured roulette chips so the dealer can tell their bets apart. Agree their value before placing them. In this example, one chip is worth five practice units.
03 · Ask a question with your bet.
Place the five-value chip on red and you are asking: will the ball land on any red number? That covers 18 of the 37 pockets. You do not need to name the exact number, but a black number or zero will lose this bet.
04 · “No more bets.”
The dealer can start the ball while bets are still open. Once “no more bets” is announced, stop adding, moving or removing chips. The ball keeps travelling, but your choices for that round are fixed.
05 · Read the return, not just the win.
Our teaching round finishes on 32, a red number. A five-chip bet on red wins five chips and returns the original five as well: ten back in total. If it had finished on 17 or 0, nothing would come back under these ordinary rules.
09 · THE ART OF BETTING
A chip changes everything.
On a number. Between two. At the meeting of four. A few millimetres change the bet.
Choose a chip, then click a number. Hover or focus to see what it covers.
Your table is open.
Choose a chip and place your first bet. No money is used.
Your placed bets will appear here.
Explore a particular result
This chooses the result for learning. “Spin the wheel” makes a fresh random draw instead.
European single zero · 1–100 chips per round · ordinary zero rule · 100 starting practice chips · no cash value
The table is a map of possibilities.
Inside bets sit on the numbered grid. A straight bet covers one number; a split covers two touching boxes. A street covers a row of three, a corner covers four adjoining numbers, and a six line covers two neighbouring rows. Select a type above to reveal its exact chip positions.
Outside bets sit around the grid. A dozen covers 1–12, 13–24 or 25–36. A column follows every third number, such as 1, 4, 7 and so on. Red/black, odd/even and low/high each cover 18 numbers. None of these outside bets includes zero.
More ways to win. A smaller payout.
A single number has one winning outcome out of 37 and pays 35 to 1 in profit. A corner has four winning outcomes and pays 8 to 1. You hit more often by covering more numbers, but the reward per chip is smaller.
On this ordinary single-zero table, every bet in the guide has the same expected loss per chip: 1/37, about 2.70%. Changing the shape of the bet changes how often and how much you win. It does not remove the casino’s mathematical advantage.
A winning chip can sit in a losing round.
Try one chip on 17 and five on red, then choose 17 in “Explore a particular result”. The number bet returns 36; the red bet returns nothing. You staked six, so the whole round makes 30 chips of profit. The receipt adds every bet before reporting the final result.
| Bet | Numbers | Chance | Profit | Returned |
|---|---|---|---|---|
| Straight | 1 | 2.70% | 35:1 | 36 |
| Split | 2 | 5.41% | 17:1 | 18 |
| Street | 3 | 8.11% | 11:1 | 12 |
| Corner | 4 | 10.81% | 8:1 | 9 |
| Six line | 6 | 16.22% | 5:1 | 6 |
| Dozen | 12 | 32.43% | 2:1 | 3 |
| Column | 12 | 32.43% | 2:1 | 3 |
| Even money | 18 | 48.65% | 1:1 | 2 |
| Zero trio | 3 | 8.11% | 11:1 | 12 |
| First four | 4 | 10.81% | 8:1 | 9 |
Profit excludes the original chip. Returned includes it. Probabilities assume a fair 37-pocket wheel.
10 · BEYOND THE BASICS
Neighbours, in another order.
The table counts upward. The wheel does not. Follow a sector and watch its bets appear.
From wheel to table.
Each mark is an ordinary bet. One unit is one chip.
A name can place a whole group of chips.
Voisins du Zéro means “neighbours of zero”: nine chips cover 17 numbers around the zero side of the wheel. Tiers du Cylindre uses six chips for 12 numbers on the opposite side. Orphelins, the “orphans”, covers the eight numbers left over with five chips.
A Neighbours bet starts with a number you choose. Here it places one chip on that number and one on each of the two pockets on either side. Choose 0 and the five numbers are 3, 26, 0, 32 and 15. They are neighbours on the wheel, even though they are far apart on the table.
Seventeen has a surprise.
In Orphelins, 17 belongs to two splits: 14/17 and 17/20. If 17 lands, both win. With one chip on each placement, the five-chip bundle returns 36. If 6 lands, only the 6/9 split wins and the same bundle returns 18. A sector name alone does not tell you the payout.
When zero changes
the rules.
Red and black look like two halves of a wheel, until you notice the green zero. Under ordinary rules, a red bet loses when zero lands. Some tables soften that loss for even-money bets: red/black, odd/even and low/high, which normally pay one chip of profit for each chip staked.
The same 10-chip bet on red
The 10 chips are lost. Zero is neither red nor black.
Now choose a non-zero result:
This example resolves En Prison with a non-zero result. Repeated-zero rules vary; check the table before you play.
La Partage · half comes back.
With La Partage, zero returns half an eligible stake immediately. Put ten chips on red and zero returns five. The rule does not protect a dozen, a column or a bet on individual numbers. On a fair single-zero wheel it reduces the expected loss on eligible bets to about 1.35% of the stake.
En Prison · the stake waits.
With En Prison, the eligible stake stays on the table after zero. If the next result is a winning non-zero number for that bet, you recover the original stake without profit. A losing non-zero number takes it. What happens if zero repeats depends on the table’s rules; check those before choosing where to play.
You can now read a chip’s position, follow a round and separate a payout from a profit. The next question is the table itself: how many zeros does it have, and which rules does it use?