Craps: Smart Choices for the Curious Shooter
A clear, pragmatic primer on craps math and sensible bet choices—how house edge, hit frequency, variance, and expected value shape smart play at the table.
Craps looks chaotic from the rail: dice fly, cheers rise, and dozens of bet types stare back from the felt. Underneath the noise there’s straightforward math that explains why some bets are steady and sensible, and why others are essentially entertainment with a steep price. This piece strips craps down to the essentials—probabilities you can remember, how the house edge and variance behave, and practical choices that keep your game tidy.
How basic bets work (in plain English)
Start with the Pass Line and Don’t Pass. On the come-out roll, a Pass Line bet wins immediately on 7 or 11 (that’s 8 of the 36 possible dice combinations, or about 22.2%) and loses immediately on 2, 3, or 12 (4 of 36, or about 11.1%). If another number comes up, that number becomes the point and the shooter keeps rolling until the point or a 7 appears.
Don’t Pass is basically the opposite: it wins if the shooter throws 2 or 3 on the come-out (12 is usually a push), loses on 7 or 11, and then you want a 7 to appear before the point once the point is established.
Come and Don’t Come bets act like Pass/Don’t Pass but can be placed after the come-out roll and follow whatever number appears next as a point.
Odds bets are placed behind Pass/Come or Don’t Pass/Don’t Come once a point is established. They pay true odds (no house edge). Place bets let you bet directly on specific numbers (4, 5, 6, 8, 9, 10) with fixed payouts.
Proposition bets (single-roll bets, horn bets, hardways, etc.) are flashy and volatile—great for excitement but usually much worse in pure math terms.
The math that matters: house edge, hit frequency, variance, expected value
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House edge is the casino’s long-term percentage advantage on a bet. It tells you, on average, how much of each dollar wagered the house keeps over a very long time. For example, the Pass Line has a house edge of about 1.41%; Don’t Pass is slightly better at about 1.36%.
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Hit frequency is how often your bet wins in the short run. A Pass Line bet wins immediately about 22% of the time on the come-out roll, but many decisions take multiple rolls to resolve; place bets on 6 or 8 hit more frequently on each roll (about 13.9% per roll) because those numbers occur more often.
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Variance is how wild your results swing. Bets with true odds (the odds bet) increase variance because you’re risking more money when the point is on, even though that portion has no house edge. Proposition bets have very high variance: occasional big wins but long losing streaks are common.
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Expected value (EV) combines house edge and bet size to tell you the average result over many repetitions. A Pass Line bet’s negative EV is small relative to many other bets because of the low house edge; a proposition bet’s EV is worse because its house edge is larger.
It helps to think of these as different lenses. House edge tells you the long-run rate of loss. Hit frequency tells you how often you’ll see small wins. Variance tells you how jagged your bankroll graph will be. EV is the arithmetic average outcome per bet over the long haul.
Which bets are actually smart (and why)
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If you want low long-term cost: Pass Line or Don’t Pass with full odds. Because odds are paid at true odds, adding as much odds as the table allows reduces the overall house edge on the combined wager (the odds part itself has zero house edge). That lowers the weighted house edge on your total money at risk.
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If you want steady, frequent wins: Place the 6 and/or 8. These bets hit reasonably often and offer one of the lowest house edges for flat wagers (around 1.52% when correctly paid). They produce frequent small wins that can help your session feel less volatile.
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If you enjoy the social aspect but care about math: Pass Line + odds is a good compromise. Don’t Pass is slightly more efficient mathematically but can feel less social because you’re betting against the shooter.
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What to avoid if you’re optimization-minded: single-roll proposition bets, the field in some formats, and Big 6/Big 8 (which often pay even money but have worse expected value). These are fine for fun but don’t belong in a “least house edge” list.
Practical session rules and tinkering tips
Set a session bankroll and a time limit before you sit down. Decide whether you value low house edge (Pass/Don’t Pass + odds), steady hits (place 6/8), or entertainment (propositions). Remember that adding odds lowers the house edge on your total money at risk but increases variance because you’re committing more when the point is on.
Tink’s Toolchest can help you reference these strategies, compare the house edge of common bets, and review a session’s results. Use it to compare bets side-by-side, not to chase mythical short‑term guarantees.
A couple of tidy rules: don’t raise your stake to chase losses, and don’t confuse frequent small wins with a change in the odds. The math that governs the table doesn’t care whether you’re ahead or behind.
Responsible-play reality check: craps is entertainment with a predictable house advantage—expect to lose over time, set limits, and never gamble money you can’t afford to lose.