Craps Dice Basics for the Compulsive Tinkerer
A clear, math‑aware guide to the craps table: what bets behave, how probability, house edge, hit frequency and variance differ, and practical tinkering tips.
Craps feels like controlled chaos: two dice, a dozen or so common bets, and a heat map of probability hiding under the noise. For the curious adult player who likes to pry under the hood, this post explains how the game actually works, how to think about house edge, hit frequency, variance and expected value in plain English, and which bets give you the most sensible options to tinker with.
How the table works in one paragraph
On the come-out roll, a 7 or 11 pays on Pass Line bets; 2, 3 (and often 12) are losses. If the roll is 4, 5, 6, 8, 9 or 10, that number becomes the point and shooters try to roll that number again before a 7. Bets resolve on each roll: some are decided immediately (one-roll propositions), others live until the point is resolved (Pass/Come/Place).
The numbers you should memorize
- Two dice give 36 equally likely combos. A 7 has 6 combinations (6/36 = 16.67%), a 6 or 8 has 5 combos each (5/36 ≈ 13.89%), a 5 or 9 has 4 combos (4/36 ≈ 11.11%), and a 4 or 10 has 3 combos (3/36 ≈ 8.33%).
- On the come-out roll: Pass Line wins with a 7 or 11 (8/36 ≈ 22.22%) and loses with 2, 3, or 12 (4/36 ≈ 11.11%). The remaining 24/36 (≈66.67%) establish a point.
- Given a point, the chance to make it before a 7 depends on the number: for 4 or 10 it’s 1/3 ≈ 33.33%, for 5 or 9 it’s 40%, and for 6 or 8 it’s 5/11 ≈ 45.45%.
Those basic probabilities underlie hit frequency (how often a bet pays on a single roll or cycle) and expected value (what you can expect on average per dollar bet).
House edge vs hit frequency vs variance vs expected value
- House edge: long-term average loss as a percentage of the bet. Example: the Pass Line has a house edge of about 1.41% (meaning on average you lose $1.41 per $100 of Pass Line action). Don’t Pass is slightly better at about 1.36%.
- Hit frequency: how often a bet wins. A Place 6/8 is hit more often per roll than a Place 4/10 because 6 and 8 occur more often (5/36 vs 3/36).
- Variance: how swingy a bet is. One-roll proposition bets and hardways are high variance — big payouts when they hit, long dry spells when they don’t.
- Expected value (EV): each bet’s average outcome = wager × (−house edge). No bet changes the underlying odds of the dice; house edge tells you the long-run EV.
It’s important to treat these as separate qualities. A low house edge doesn’t mean a bet pays often (it may still have high variance), and a high hit frequency doesn’t mean a good EV if the payout is poor.
Which bets are the pragmatic tinkerer’s tools?
- Pass Line and Come: low house edge (~1.41% before odds), steady rhythms (you win on come-out or wait to make a point). Good baseline bets.
- Don’t Pass/Don’t Come: slightly lower house edge (~1.36%), but you’re betting against the shooter — socially different, mathematically similar.
- Odds bets (backing your Pass/Come with odds): these have no house edge — they pay true odds. Adding odds lowers the combined house edge of your total action and is the single most effective way to reduce expected loss per dollar risked (while increasing variance because you have more money working).
- Place bets on 6 and 8: higher hit frequency and a relatively small house edge (about 1.52% when placing 6/8). Place 5/9 and 4/10 have bigger house edges: ~4.00% and ~6.67% respectively.
- Proposition bets and hardways: tempting because of big payouts, but they typically carry much larger house edges (often several percent to double digits) and high variance — these are tinkering toys, not EV saviors.
Practical tinkering tips (no magic, just sensible choices)
- Start with a base bet on Pass or Don’t Pass and add odds when you can. Odds reduce the house edge of the total wager mix because they carry no embedded house edge.
- If you like frequent small wins, place 6/8 rather than 4/10 or big-field plays. If you like chasing big payouts, accept that variance and house edge rise together.
- Keep bet sizing consistent and think in terms of bankroll units. Expect variance: streaks of losses and wins are normal.
Keep good notes — and a tool can help
Tink’s Toolchest can help you reference strategy, compare bets, or review a session so you can learn what your choices actually did over time.
Reality check
Craps is rich with interesting math and meaningful choices, but no betting pattern cancels the house edge. Play to enjoy the mechanics and social energy, set limits, and never wager money you need.
Responsible play: set a budget, stick to it, and view any losses as the price of entertainment rather than a solvable puzzle.