Craps Odds Training Visualizer

Read the table like a craps dealer reads the layout

This calculator is a training page for one of the most important ideas in casino math: not all dice totals are equally likely, because two dice create the same sum in different numbers of ordered combinations. The heat map below shows all 36 equally likely ordered outcomes, from 1 + 1 through 6 + 6. Once you can see those 36 cells as a complete probability map instead of a blur of numbers, most craps rules become easier to understand. Pass line come-out winners, don't pass pushes, point races, and many proposition bets all reduce to the same question: which of these 36 combinations help me, hurt me, or do nothing right now?

That is why a visualizer is useful even for players who already know the rules. A written rule such as 7 and 11 win on the pass line is easy to memorize, but it does not automatically teach frequency. Seeing six cells for 7 and two cells for 11 makes the probability feel concrete. The same idea matters for point numbers. Players often remember that 6 and 8 are better points than 4 and 10, yet the real reason is simple: there are five ordered ways to roll a 6, five ordered ways to roll an 8, but only three ordered ways to roll a 4 or 10. The visual pattern teaches that lesson faster than a paragraph alone.

What each mode means

The form lets you switch among several common training views. Target total mode is the purest probability drill. Choose a total from 2 through 12 and the grid highlights every ordered pair that produces it. This is ideal for learning the bell-shaped distribution of two dice. Pass line and don't pass modes focus on the come-out roll. Those views separate immediate wins, immediate losses, and rolls that simply establish a point or otherwise continue play. Point cycle race mode isolates one point number and compares it with the seven-out number, which is the true pressure every made point must survive. Proposition spotlight covers several common one-roll and hardway-style bets so you can compare flashy payouts against underlying frequency.

Use the modes as quick mental reps. If you want to learn whether a total is common, use target total. If you want to rehearse core table strategy, use pass line or don't pass. If you want to understand why the game's long-run edge comes from repeated races against 7, use point mode. And if you want a reality check on side bets, use proposition mode and compare the number of green win cells with the number of red lose cells. The calculator does not tell you what to bet. It shows the structure underneath the bet.

How the inputs work

The page has three conditional inputs because different training modes need different information. Training Mode decides which rule set is active. Target Total appears only when you are studying a raw dice sum, because in that case the only question is which total you want to highlight. Point Target appears only in point cycle mode, where you choose one of the six legal point numbers: 4, 5, 6, 8, 9, or 10. Proposition Bet appears only in proposition mode, where you can examine hardways, any 7, any craps, or the field. Each selector changes the meaning of color on the grid, so it is worth pausing for a second before you click update. The same cell can be a winner in one mode and a loser in another.

That shifting context mirrors real craps. A 12 is terrible for a pass line bet on the come-out roll, a push on the don't pass, a winner for any craps, and a premium result in many field pay tables. The ordered pair 3 + 3 wins a hard 6, while 1 + 5 and 2 + 4 lose the same hardway despite sharing the same total. If you are practicing live-table recognition, say the category out loud before you update the grid. That small habit builds faster classification, which is exactly the skill the visualizer is meant to train.

How the probability math works

For any total s, the single-roll probability is the number of ordered combinations that make that total divided by 36. The count changes by total: 2 has one combination, 3 has two, 4 has three, and the pattern rises to 7 before falling symmetrically back to 12. In compact form:

That is the core rule behind the whole page. If a bet wins on a certain set of totals, you add the counts for those totals. If a bet loses on another set, you add those counts too. Some views also have neutral outcomes, meaning the roll neither settles the bet nor resolves the training prompt immediately. The calculator is therefore less about one giant formula and more about careful counting. Still, it can help to remember the general calculator pattern shown below, because every mode is just a different function of the selected rule set and the 36 outcome cells.

In this craps setting, the weights act like probability counts. A sum with six combinations simply carries more weight than a sum with one combination. Point mode adds one more idea: once a point is established, the eventual chance to make that point before a 7 is not just the single-roll chance of the point. It is the race between the point's combinations and the six combinations of 7. For a point p, the eventual win probability is:

That is why 6 and 8 win more often than 4 and 10 after a point is set, but still less than half the time overall in the point race. Five ways to roll a 6 sounds strong until you remember that 7 still has six ways.

Worked examples you can verify in the grid

Start with a target total of 7. The heat map highlights six cells: 1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, and 6 + 1. That means 7 occurs with probability 6 / 36, or 16.67%. Next, switch to pass line mode. The immediate come-out winners are 7 and 11, which together account for 6 + 2 = 8 combinations. Immediate losers are 2, 3, and 12, which together account for 1 + 2 + 1 = 4 combinations. The remaining 24 combinations establish a point. So the visual story of a pass line come-out roll is 22.22% immediate win, 11.11% immediate loss, and 66.67% continue to a point.

Now try point cycle race with point 6. The grid colors the five combinations that roll 6 and the six combinations that roll 7. If you looked only at the next roll, you would say 6 has probability 5 / 36 and 7 has probability 6 / 36. But the real question is which appears first across repeated rolls. The race probability is 5 divided by 5 + 6, which is 45.45%. Change the point to 4 and the ratio becomes 3 divided by 3 + 6, or 33.33%. One glance at the grid makes the reason obvious: 4 simply has fewer paths to appear before 7 catches it.

For proposition bets, pick hard 6. Only one ordered pair, 3 + 3, is a hard 6 winner. Four other 6 combinations are easy 6 losers for that bet, and every 7 also loses, so the red area quickly outweighs the green area. That contrast explains why large posted payouts do not automatically mean good value. A payout tells you what the casino pays when you win. The grid tells you how often you actually reach that win.

Point comparison at a glance

The table below summarizes the point-race logic that many players try to memorize. Reading it after using the heat map is more useful than reading it first, because you can connect each percentage to a visible set of colored cells.

How to interpret the result panel

The result panel below the form gives the most important probability statement for the active mode. Treat it as the short answer, then use the heat map as the evidence. If a probability looks surprising, count the colored cells manually. That self-check is especially valuable when you are learning proposition bets, because many of them mix totals and exact dice structures. A hardway depends on both the sum and whether the dice match. The field depends on a set of scattered totals rather than a continuous range. Any 7 is a pure frequency bet with no neutral results. The visualizer lets you confirm all of those structures without jumping from chart to chart.

The best way to practice is to change one thing at a time. Keep the same mode and move from point 4 to 5 to 6. Then switch from pass line to don't pass and note how the same totals change meaning. Then compare any 7 with any craps. You will start noticing that the entire game revolves around a few stable facts: 7 is the most frequent total, 6 and 8 are next, the edge totals are rare, and exact doubles matter only for bets that care about hardways.

Assumptions and limits

This calculator models fair six-sided dice and treats the 36 ordered outcomes as equally likely. It is a probability trainer, not a bankroll tool and not a strategy adviser. It does not model table-specific odds multiples, commission variants, side rules, controlled shooting claims, or session volatility. Proposition payouts displayed in text are common examples, but individual casinos can differ, and a displayed payout by itself does not prove a favorable bet. The page also does not simulate long streaks, shooter hand length, or expected value over multiple rolls. Its purpose is narrower and cleaner: learn what each roll means and how often it can happen.

If you keep that boundary in mind, the visualizer is powerful. It turns craps from a fast-moving verbal game into a probability map you can inspect slowly. That is why the optional mini-game on this page uses classification rather than guessing. Once you can instantly label a roll as win, lose, or neutral for the current bet, you are starting to think in the same structure as the calculator.