Table Games Calculator

Two D6 Sum Calculator

Two D6 Sum Calculator

Calculate exact 2d6 sums, at-least and at-most checks, target ranges, doubles filters, modifiers, one-die rerolls, and keep-higher or keep-lower pair rolls from the two six-sided dice probability space.

Two D6 Presets
Roll Target and Adjustments
The calculator starts with the 36 ordered two-die outcomes. Reroll and pair modes expand the branches, while the base 2d6 distribution stays visible in the breakdown.
Choose exact sum, threshold, or range math.
Used by exact, at least, and at most checks.
Added after the two dice are summed.
Inclusive lower number for range checks.
Inclusive upper number for range checks.
Filter by 1-1, 2-2, 3-3, 4-4, 5-5, 6-6.
One selected die can be rolled again once.
Compares two complete 2d6 attempts.
Changes the fourth summary note.
Target Chance
0%
waiting for inputs
Favorable Branches
0
out of 36
Chance Ratio
0
per successful branch
Expected Sum
7.00
modified average
Full 36-Outcome Breakdown
Modified Sum Distribution
Component and Probability Specs
36 Ordered base rolls
Two six-sided dice produce 6 × 6 equally likely ordered outcomes before options.
11 Natural sums
The unmodified total can be any integer from 2 through 12.
6 Doubles outcomes
Each double appears once in the ordered 36-outcome grid.
1296 Two-pair branches
Keep-higher and keep-lower compare two complete 2d6 attempts.
📋Reference Tables
Exact 2d6 sum distribution
SumOutcomesChanceExample pairs
21 of 362.78%1-1
32 of 365.56%1-2, 2-1
43 of 368.33%1-3 through 3-1
54 of 3611.11%1-4 through 4-1
65 of 3613.89%1-5 through 5-1
76 of 3616.67%1-6 through 6-1
85 of 3613.89%2-6 through 6-2
94 of 3611.11%3-6 through 6-3
103 of 368.33%4-6, 5-5, 6-4
112 of 365.56%5-6, 6-5
121 of 362.78%6-6
At least target thresholds
TargetHitsChanceNatural sums
5+30 of 3683.33%5 through 12
6+26 of 3672.22%6 through 12
7+21 of 3658.33%7 through 12
8+15 of 3641.67%8 through 12
9+10 of 3627.78%9 through 12
10+6 of 3616.67%10 through 12
11+3 of 368.33%11 through 12
12+1 of 362.78%12 only
Doubles reference
DoubleNatural sumSingle chanceGroup note
1-121 of 36Lowest double
2-241 of 36Low even sum
3-361 of 36Middle even sum
4-481 of 36Middle high sum
5-5101 of 36High even sum
6-6121 of 36Highest double
Any double2,4,6,8,10,126 of 3616.67% total
Common option branch counts
Option setBranch countBase ideaUse case
Plain 2d6366 × 6Exact sums and thresholds
One-die reroll21636 × 6Reroll selected die once
Keep higher pair129636 × 36Compare two 2d6 sums
Pair plus reroll46656216 × 216Compare two rerolled attempts
💡Calculation Tips
Modifier order: The dice are summed first, then the modifier is added before exact, threshold, range, and doubles-filter checks are evaluated.
Pair mode: Keep-higher and keep-lower roll two complete 2d6 attempts. If one-die reroll is active, each attempt applies that reroll before the pair comparison.

Tabletop games often use a mechanic where you roll two six-sided dice. Grab the pair, shake them and drop them where they fall, a chance at success on skill check or an attack roll. It feel like simple math: two to twelve. But inside those thirty-six possibilities is something more. There’s a bell curve here that tugs most outcomes toward its middle but allows extremes to be less frequent. And once you know about that distribution, you’ll start playing differently.

You won’t hope as much; you’ll understand the odds of your luck coming through naturaly. Once you know what you want, plug in your number and let calculator do the math. No need to memorize how often each number adds up. You can experiment with exact scenarios as they occurs at the table. Maybe you need an 8 or higher to punch through a suit of armor? Or maybe you’re trying to stay below five so you don’t trigger a trap? Adjust for modifiers and let tool do its work.

Understanding Dice Odds

A mere +2 bonus doesn’t sound like much, but it nudges your odds closer to victory. It’s pushing the whole curve upward. Suddenly, you hit those higher numbers more frequent because you’ve just bumped your goal down the scale. Strategy also extends to doubles. A pair isn’t simply a matter of taste; often there’s a mechanical advantage as well.

Of the 36 combinations possible, six ways results in a double being rolled out. Regardless of any other number you’re pursuing, that represents a one in six opportunity. Depending on rules, some players don’t want to include doubles or need doubles for certain effects. The tool allow you to filter by these results. You’ll know exactly what that limitation does to the chances of success.

Adding an extra die rerolls breaks the normal bell curve and adds some kind of variable into the mix. By rerolling a one or lower of two dice, you’re not just repeating the experiment; you’re pruning the worst outcomes and replacing them with fresh randomness. By rerolling the lower die or even a one, you’re eliminating the worst case scenario. You are inserting new dice rolls to see what happens. So you eliminate the low numbers from your pool of dice. That means the average will go up.

And that makes it feel like cheating, it feels like bending luck in your favor. But if you consider the new paths that open up, the math works out. Once you include those options in the equation, it all starts to make sense. Those choices change the end result and this little tool illustrates that. One selective reroll could of be far more effective than starting over.

To have greater control, pair two different rolls and use larger of the two. That squares your sample size and pulls the average further from the middle. You end up with a highly uneven spread in favor of high numbers. Some systems calls this advantage; how it works varies between system. What matters here is that you’re sacrificing consistency to gain ceiling height.

You’ll still get some low numbers, but only rarely. If you need moderate results, this is a risky move. But it’s impossible to beat when pursuing a critical success. That understanding will guide your decisions in-game. At the table. At work. In life. Because if you know what kind of distribution the odds represent you make better choices at the table.

When you know the curve, it’s easier to plan. The randomness of the dice isn’t something you can control, but you can learn to read their patterns. Understand how they warp under modifiers and rerolls. And once you do? Every time you hit the button on those dice, it feels less like gambling, and more like taking a calculated step forward.

You won’t wonder why you didn’t get that shot off. You’ll understand when the odds weren’t actualy with you. And that’s worth far more then a handful of lucky breaks.

Two D6 Sum Calculator

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