The center of the table
Craps is a game of chance with a built-in house edge, and no strategy, system 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. The bets in the center of the layout are the clearest example of how costly a casino wager can be.
Proposition bets (often called prop bets) are wagers on the very next roll, or on a particular combination, such as a total of 7 or a pair of 6s. They are usually handled by the stickman, and the player tosses chips toward the center and calls the bet. Because they resolve in one roll, they are quick, and the payouts can look large.
Payout versus true odds
The edge on any bet comes from the gap between what a win pays and what a fair payout would be. Two dice give 36 equally likely outcomes, so the true odds follow from counting. The payouts below are common, but they vary by venue, so the posted layout is the reliable source.
| Bet | Wins on | Ways (of 36) | True odds against | Common payout | Edge |
|---|---|---|---|---|---|
| Any seven | 7 | 6 | 5 to 1 | 4 to 1 | about 16.7% |
| Any craps | 2, 3 or 12 | 4 | 8 to 1 | 7 to 1 | about 11.1% |
| Eleven | 11 | 2 | 17 to 1 | 15 to 1 | about 11.1% |
| Three | 3 | 2 | 17 to 1 | 15 to 1 | about 11.1% |
| Two or twelve | that number | 1 | 35 to 1 | 30 to 1 | about 13.9% |
Checking the arithmetic
These worked examples are hypothetical, using a $1 bet.
Any seven. A 7 comes up 6 times in 36, which is 1 in 6. A win pays $4, and a loss costs $1. Over 36 rolls on average: 6 wins × $4 = $24, and 30 losses × $1 = $30. Net −$6 across 36 bets, which is −$6 ÷ 36 ≈ −$0.167, or 16.7% of each dollar.
Any craps. There are 4 combinations of 2, 3 or 12 (1 + 2 + 1). Over 36 rolls on average: 4 wins × $7 = $28, and 32 losses × $1 = $32. Net −$4 ÷ 36 ≈ −$0.111, or 11.1%.
Eleven. Two combinations. Over 36 rolls: 2 × $15 = $30 against 34 × $1 = $34. Net −$4 ÷ 36, again 11.1%.
Two or twelve. One combination. Over 36 rolls: 1 × $30 = $30 against 35 × $1 = $35. Net −$5 ÷ 36 ≈ 13.9%.
Each is a sound use of basic probability: count the ways, divide by 36, compare the average return with the stake.
Why the gaps are wide
Two features make these bets expensive.
First, the payouts are rounded off to comfortable numbers. A bet that would pay 5 to 1 if fair is offered at 4 to 1. A fair 35 to 1 is shortened to 30. The casino keeps the difference. Even small roundings in payout ratios matter a great deal on a rare event, because each win is paid rarely and the shortfall is repeated on every loss.
Second, nothing offsets the cost. The line bets have a small edge because a long sequence of rolls is involved. A single-roll bet has none of that cushioning, so the edge is applied in full to a bet that is resolved every roll. A player making one such bet on each roll of a fast table is paying the full edge, over and over.
The “for” and “to” wording also matters. A payout of “30 for 1” returns the $30 including the original $1 stake, which is only 29 to 1. Under that wording the two-or-twelve edge rises to about 16.7%. Check which convention the table uses.
Why they look attractive
A bet that returns 30 times the stake on a single throw is memorable. The mind weighs the rare large win more than the many small losses, a pattern linked to cognitive biases. Meanwhile each roll feels like a fresh chance. The dice are independent events, and a long stretch with no 7 does not make a 7 more likely on the next throw. Believing otherwise is the gamblers fallacy.
These are also close cousins of side bets elsewhere in the casino, which tend to carry larger edges than the main game they sit beside. The pattern is consistent: the more dramatic the payout, the larger the shortfall against true odds tends to be.
Cost over a session
The expected cost scales with money wagered. Hypothetical example: $5 on any seven on each of 40 rolls in an hour is $200 wagered, and at about 16.7% the expected loss is about $33. A $10 Pass Line bet resolved 40 times is $400 wagered, and at about 1.4% the expected loss is under $6. The speed of play at a craps table means these figures can pile up faster than many players expect.
Actual outcomes will differ from the average, sometimes by a lot, and a lucky hour does not change the long-run cost. Anyone choosing to play should decide in advance on a limit that is truly spare money, accept that results are uncertain, and stop when the limit is reached. A local support service can help anyone worried about their gambling.