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CrapsGuideSeptember 19, 20265 min read

Craps Workshop for the Compulsive Tinkerer

A clear, practical guide to craps probabilities, common bets, and smart choices: understand house edge, hit frequency, variance, and how odds change effective edge.

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Craps can feel like organized chaos: a table full of chips, loud calls of “seven out,” and a surprising amount of math hiding under the noise. If you enjoy taking things apart to see how they work, this guide will walk through the dice mechanics, the bets that matter, and how to think clearly about probability and risk so you can play with intention.

How the dice actually behave

Craps uses two six-sided dice, so there are 36 equally likely combinations. Knowing the counts behind each total is the foundation:

  • 7: 6 combinations
  • 6 and 8: 5 combinations each
  • 5 and 9: 4 combinations each
  • 4 and 10: 3 combinations each
  • 3 and 11: 2 combinations each
  • 2 and 12: 1 combination each

From that you can compute probabilities. For example, rolling a 7 has probability 6/36 = 1/6 (about 16.7%). If the point is 6, the chance you roll a 6 before a 7 is 5/(5+6) = 5/11 (about 45.5%). That formula — combos for the point divided by combos for point plus combos for 7 — is the quick way to evaluate how likely a point is to be made.

Key bets that actually matter

  • Pass Line and Come: These are the most straightforward bets. On the come-out roll, 7 or 11 wins, 2, 3, or 12 loses; if a point is set, you win if the point is rolled before a 7. These bets have relatively low house edge and steady action.

  • Don’t Pass and Don’t Come: The counterpart bets. They win on 2 or 3 on the come-out (12 is usually a push on Don’t Pass), and they win if 7 hits before the point once it’s set. Don’t bets typically have a slightly lower house edge than the equivalent Pass bets — a small edge difference, useful if you’re optimizing for expected value.

  • Odds bets: Once a point is set, you can place an additional odds bet behind your Pass/Come or Don’t bets. Odds are paid at true odds and carry no house edge. Casinos limit the multiple you can place (1x, 3x, 5x, etc.), but taking the maximum odds available is the single best math play in craps.

  • Place bets (6 and 8) and Field bets: Place on 6/8 pays 7:6 and has a modest edge; field and many proposition bets have much higher house edges and greater variance. Hardways and one-roll proposition bets are high-variance, rarely hitting, and poor from a long-term expected-value perspective.

House edge, hit frequency, variance, and expected value — what each means

  • House edge is the casino’s long-term percentage advantage on a particular bet. If a bet has a 1.4% house edge, it means that over a very large number of identical bets, the average loss equals 1.4% of the wagered amount.

  • Expected value (EV) is the average outcome of a bet, expressed in currency or percentage. House edge is a way to express negative EV relative to the original bet.

  • Hit frequency is how often a bet wins. High hit frequency can feel satisfying because you get more frequent small wins, even if those wins have little effect on long-term EV.

  • Variance measures how wildly your bankroll will swing. High-variance bets (prop bets, hardways) win rarely but pay big; low-variance bets (Pass Line with odds) win more often and produce steadier results.

These are distinct concepts. A bet can have a low house edge but still a low hit frequency and moderate variance, or a high house edge with frequent small wins. Understand which trade-offs matter to you: psychological comfort (hit frequency) or mathematical efficiency (low house edge and low variance).

A little math that matters in practice

Say you bet $10 on the Pass Line and the house edge on that bet is about 1.41% (a standard rough figure). Your expected loss on the $10 is about $0.14 over the long run. If you take $30 of odds behind that $10 (odds have 0% house edge), your total money at risk is $40, but the expected loss is still roughly $0.14. The effective house edge on your combined $40 position is 0.14/40 ≈ 0.35%. That illustrates why taking odds reduces your overall edge: the zero-edge odds shrink the weighted average loss.

Practical approach for the tinkerer

  • Prefer Pass/Come or Don’t Pass/Don’t Come and take the maximum odds you can afford. That mix gives the most favorable math for the table.

  • Avoid most proposition bets and many field or weird place bets unless you enjoy the high-variance excitement and accept the higher cost in EV.

  • Gauge bankroll for variance. If you want longer sessions with smaller swings, stick to low-variance bets and smaller bet sizes. If you enjoy volatility, try a controlled amount of higher-variance plays as entertainment, not profit strategies.

If you like tracking and comparing bets after a session, Tink’s Toolchest can help you reference strategy, compare bets, or review how a session unfolded.

Responsible-play reality check

Craps is a game of probability where the house has a mathematical advantage on every wager. Play for entertainment, set limits ahead of time, and never chase losses.

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