Dice roll probabilities tables for Dragonwood™ boardgame

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# fasiha/dragonwood-tm-rolls

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# Dragonwood™ dice simulator

Someone got us Gamewright’s Dragonwood™.

It is awesome.

But I got tired of using AnyDice to compute probabilities of rolling the game’s N dice that sum to S, so I enumerated them all in this one place.

(The dice have six sides: 1, 2, 2, 3, 3, 4. And, if you have a magic card, you can reroll your worst dice—this now works thanks to our contributors!)

Tech notes. To see the probabilities tables, scroll down. If for some reason you want to run this software to recreate the tables below, make sure you install Git and Node.js. Then in your command line (Terminal app in macOS, Command Line Prompt in Windows, xterm in Linux, etc.), run the following: `git clone https://github.com/fasiha/dragonwood-tm-rolls.git && cd dragonwood-tm-rolls && npm i && npm run build && node index.js`. This will (1) clone (copy) this Git repo from GitHub to your computer (`git ...`), (2) change into the newly-created directory (`cd ...`), (3) download the Node.js dependency (viz., my Cartesian product library, via `npm i`), (4) transpiles the TypeScript source to JavaScript that Node can run (`npm run ...`)), and finally, (5) run the script in Node to print out the table below.

## 1 dice

• ≥2, 83.3% or 5：1
• ≥3, 50.0% or 1：1
• ≥4, 16.7% or 1：5

## 2 dice

• ≥3, 97.2% or 35：1 (rerolling? Then 99.5% or 215：1)
• ≥4, 86.1% or 6.2：1 (rerolling? Then 94.9% or 18.6：1)
• ≥5, 63.9% or 1.8：1 (rerolling? Then 79.2% or 3.8：1)
• ≥6, 36.1% or 1：1.8 (rerolling? Then 51.4% or 1.1：1)
• ≥7, 13.9% or 1：6.2 (rerolling? Then 22.7% or 1：3.4)
• ≥8, 2.8% or 1：35 (rerolling? Then 5.1% or 1：18.6)

## 3 dice

• ≥4, 99.5% or 215：1 (rerolling? Then 99.9% or 1295：1)
• ≥5, 96.8% or 29.9：1 (rerolling? Then 99.3% or 143：1)
• ≥6, 88.4% or 7.6：1 (rerolling? Then 96.2% or 25.4：1)
• ≥7, 72.2% or 2.6：1 (rerolling? Then 87.3% or 6.9：1)
• ≥8, 50.0% or 1：1 (rerolling? Then 69.7% or 2.3：1)
• ≥9, 27.8% or 1：2.6 (rerolling? Then 45.6% or 1：1.2)
• ≥10, 11.6% or 1：7.6 (rerolling? Then 22.5% or 1：3.4)
• ≥11, 3.2% or 1：29.9 (rerolling? Then 7.4% or 1：12.5)
• ≥12, 0.5% or 1：215 (rerolling? Then 1.2% or 1：80)

## 4 dice

• ≥5, 99.9% or 1295：1 (rerolling? Then 100.0% or 7775：1)
• ≥6, 99.3% or 143：1 (rerolling? Then 99.9% or 705.9：1)
• ≥7, 96.8% or 30.6：1 (rerolling? Then 99.2% or 126.5：1)
• ≥8, 90.4% or 9.4：1 (rerolling? Then 96.9% or 31.1：1)
• ≥9, 78.0% or 3.5：1 (rerolling? Then 90.7% or 9.8：1)
• ≥10, 60.1% or 1.5：1 (rerolling? Then 78.6% or 3.7：1)
• ≥11, 39.9% or 1：1.5 (rerolling? Then 60.3% or 1.5：1)
• ≥12, 22.0% or 1：3.5 (rerolling? Then 39.2% or 1：1.6)
• ≥13, 9.6% or 1：9.4 (rerolling? Then 20.4% or 1：3.9)
• ≥14, 3.2% or 1：30.6 (rerolling? Then 7.9% or 1：11.6)
• ≥15, 0.7% or 1：143 (rerolling? Then 2.0% or 1：47.9)
• ≥16, 0.1% or 1：1295 (rerolling? Then 0.3% or 1：369.3)

## 5 dice

• ≥6, 100.0% or 7775：1 (rerolling? Then 100.0% or 46655：1)
• ≥7, 99.9% or 705.9：1 (rerolling? Then 100.0% or 3587.9：1)
• ≥8, 99.2% or 126.5：1 (rerolling? Then 99.8% or 547.9：1)
• ≥9, 97.1% or 33.4：1 (rerolling? Then 99.2% or 124.8：1)
• ≥10, 91.9% or 11.4：1 (rerolling? Then 97.3% or 36.5：1)
• ≥11, 82.3% or 4.6：1 (rerolling? Then 92.8% or 12.9：1)
• ≥12, 67.7% or 2.1：1 (rerolling? Then 83.9% or 5.2：1)
• ≥13, 50.0% or 1：1 (rerolling? Then 69.8% or 2.3：1)
• ≥14, 32.3% or 1：2.1 (rerolling? Then 51.9% or 1.1：1)
• ≥15, 17.7% or 1：4.6 (rerolling? Then 33.4% or 1：2)
• ≥16, 8.1% or 1：11.4 (rerolling? Then 17.9% or 1：4.6)
• ≥17, 2.9% or 1：33.4 (rerolling? Then 7.6% or 1：12.1)
• ≥18, 0.8% or 1：126.5 (rerolling? Then 2.4% or 1：40.3)
• ≥19, 0.1% or 1：705.9 (rerolling? Then 0.5% or 1：195)
• ≥20, 0.0% or 1：7775 (rerolling? Then 0.1% or 1：1793.5)

## 6 dice

• ≥7, 100.0% or 46655：1 (rerolling? Then 100.0% or 279935：1)
• ≥8, 100.0% or 3587.9：1 (rerolling? Then 100.0% or 18661.4：1)
• ≥9, 99.8% or 547.9：1 (rerolling? Then 100.0% or 2476.3：1)
• ≥10, 99.2% or 124.8：1 (rerolling? Then 99.8% or 491.8：1)
• ≥11, 97.4% or 37.5：1 (rerolling? Then 99.2% or 130.1：1)
• ≥12, 93.3% or 13.8：1 (rerolling? Then 97.7% or 42.4：1)
• ≥13, 85.5% or 5.9：1 (rerolling? Then 94.2% or 16.1：1)
• ≥14, 73.7% or 2.8：1 (rerolling? Then 87.4% or 6.9：1)
• ≥15, 58.3% or 1.4：1 (rerolling? Then 76.4% or 3.2：1)
• ≥16, 41.7% or 1：1.4 (rerolling? Then 61.5% or 1.6：1)
• ≥17, 26.3% or 1：2.8 (rerolling? Then 44.6% or 1：1.2)
• ≥18, 14.5% or 1：5.9 (rerolling? Then 28.4% or 1：2.5)
• ≥19, 6.7% or 1：13.8 (rerolling? Then 15.5% or 1：5.5)
• ≥20, 2.6% or 1：37.5 (rerolling? Then 7.0% or 1：13.3)
• ≥21, 0.8% or 1：124.8 (rerolling? Then 2.5% or 1：38.8)
• ≥22, 0.2% or 1：547.9 (rerolling? Then 0.7% or 1：148.3)
• ≥23, 0.0% or 1：3587.9 (rerolling? Then 0.1% or 1：839.6)
• ≥24, 0.0% or 1：46655 (rerolling? Then 0.0% or 1：9029.2)

Dice roll probabilities tables for Dragonwood™ boardgame

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