Start with the odds, not the excitement
Craps is a game of chance with a built-in house edge. Every bet at the table has an expected cost, and no betting pattern, dice-setting routine or timing changes that in the player’s favor over time. Most players lose money over time, and nobody should gamble money they cannot afford to lose. If gambling is causing you worry, a local support service can help.
With that said, craps is one of the most transparent casino games to study. The whole game runs on two six-sided dice, and every payout can be checked against simple counting. That makes it a useful way to learn how the math behind a casino table works.
The two dice and the numbers that matter
Two dice can land in 36 equally likely ways. Each total from 2 to 12 comes from a different number of those ways: one way to make 2, two ways to make 3, and so on up to six ways to make 7, then back down to one way to make 12. That uneven spread is the foundation of the entire game. A fuller count of the two-dice outcomes shows why seven is the most common total, with a probability of 6 in 36, or one in six.
The layout of the table
A craps table looks crowded, but it is organized into a few areas:
- Pass Line and Don’t Pass areas run around the rail of the table. These are the main “line” bets.
- Come and Don’t Come areas sit in the middle sections. They work like the line bets, but can be placed at any time.
- The place-number boxes are labeled 4, 5, 6, 8, 9 and 10. These are the six “point” numbers.
- The center area holds one-roll bets, often called proposition bets, which are usually grouped in the middle of the layout.
Staff include a stickman who handles the dice and calls the roll, dealers who manage bets and payouts, and a boxman who supervises. A puck marked OFF or ON shows whether a point has been established.
The come-out roll
Every round begins with a come-out roll, thrown by the shooter. Players who bet the Pass Line are betting on the following:
- A 7 or 11 on the come-out wins the Pass Line. That is 8 of the 36 combinations (6 ways for 7 plus 2 ways for 11).
- A 2, 3 or 12 is “craps” and loses the Pass Line. That is 4 of the 36 combinations (1 + 2 + 1).
- Any other total, 4, 5, 6, 8, 9 or 10, becomes the point. The puck is turned ON and placed on that number.
So on the come-out roll alone, the Pass Line wins 8 times in 36, loses 4 times in 36, and moves on to a point the remaining 24 times in 36.
The point cycle
Once a point is set, the shooter keeps rolling. Only two outcomes end the Pass Line bet: the point comes up again (Pass Line wins) or a 7 comes up (Pass Line loses, called a “seven-out”). Other totals change nothing for that bet.
Because only the point and 7 matter, the chance of winning depends on how many ways each can be made. For a point of 6, there are 5 ways to roll a 6 and 6 ways to roll a 7, so the point wins 5 times out of 11 on average. For a point of 4 or 10, it is 3 ways against 6, or 1 in 3. For 5 or 9, it is 4 ways against 6, or 2 in 5. A 7 is always the most likely single total, so the point is always the underdog.
Adding all of these together, the Pass Line wins about 49.3% of the time and loses about 50.7%. That small gap is the source of its house edge of roughly 1.4%. Hypothetical example: over a very long run of $10 Pass Line bets, the expected loss is about 14 cents per bet. In any real session, actual results will swing well above and below that figure, and the long-run result only emerges over a very large number of rounds, which is the law of large numbers at work.
How the main bets fit together
Most craps bets are variations on one idea: bet on a number appearing before a 7, or the other way around.
- Line bets back the shooter (Pass) or bet against (Don’t Pass). They carry the smallest edges on the table, at roughly 1.4% each.
- Come and Don’t Come bets repeat that logic with a new point for each bet.
- Odds behind a line bet pay at true odds with no edge of their own, but only exist alongside a bet that has one.
- Place and buy bets wager that a specific number rolls before a 7, with payouts set below true odds or reduced by a commission.
- One-roll proposition bets have the largest edges on the table, because payouts are set well below the real chance of winning.
Because the edge is built into each payout, it helps to understand payout ratios and how they compare with true odds before judging any bet. A bet that pays 4 to 1 on something that really happens 1 time in 6 is paying less than the 5 to 1 that a fair price would need.
Why the math matters more than the atmosphere
Craps feels lively, and the pace can be fast. But the dice have no memory: the rolls are independent events, and a run of sevens or a long stretch with no seven says nothing about the next roll. Believing otherwise is the gamblers fallacy, and it is a common source of mistaken bets.
Table rules also matter. Minimum bets, maximum bets and table limits control how much odds can be taken and how fast money can move. The faster the rolls and the more is wagered per roll, the larger the expected cost per hour, even when the edge on each bet stays the same.
A sensible way to think about it
The most honest summary of the craps table is that it is a set of bets with different prices. Some prices are small, such as the line bets, and some are steep, such as most one-roll bets. None of them is free, none is “due”, and none can be turned into a reliable source of income. Anyone who plays should treat money spent as the cost of entertainment, set a limit in advance that is truly spare money, and stop when it is reached.