wiki:dice_probabilities
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wiki:dice_probabilities [2017/02/05 02:00] caleymccready |
wiki:dice_probabilities [2021/03/09 00:29] (current) caleymccready |
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| =======Probabilities======= | =======Probabilities======= | ||
| - | Elemental D6 uses the six-sided die in multiple ways. Each different mechanic has a unique set of probabilities. In the links below, you will find data that will help you in making decisions when building and playing your character | + | Elemental D6 uses the six-sided die in multiple ways. Each different mechanic has a unique set of probabilities for the desired outcomes. In the links below, you will find data that will help you in making decisions when building and playing your character |
| **General Mechanics** | **General Mechanics** | ||
| - | * [[Hit Roll Probabilities]] - Offensive and Defensive talent formulas | + | * [[Ability Check Probability]] - Ability Checks, Opposed Ability Checks, rolling a 5, 6 |
| - | * [[Sum Roll Probabilities]] - Damage and Saving throws | + | * [[Advantage Probabilities]] - Combat advantage and disadvantage |
| + | * [[Hit Roll Probabilities]] - Offensive and Defensive talent formulas, rolling a 4, 5, or 6 | ||
| + | * [[Initiative Probabilities]] - Initiative rolls, rolling a 6 | ||
| + | * [[Skill Roll Probabilities]] - Skill checks, rolling a 6 | ||
| + | * [[Skill Focus Probabilities]] - Average values of the skill focuses | ||
| + | * [[Sum Roll Probabilities]] - Damage and Ability Checks, rolling and summing up the faces | ||
| * [[Character Creation Probabilities]] - Assigning initial ability scores | * [[Character Creation Probabilities]] - Assigning initial ability scores | ||
| - | **Talent Mechanics** | + | **Advent Mechanics** |
| - | * [[Psychometry Probabilities]] | + | * [[Aiki Probabilities]] - Matching attacker's hit dice |
| - | * [[Retrocognition Probabilities]] | + | * [[Psychometry Probabilities]] - Matching the Game Master's 8d6 |
| + | * [[Retrocognition Probabilities]] - Rolling three-dice straights and three of a kind | ||
| + | * [[Clairvoyance Probabilities]] - Declaring a number and then matching that dice | ||
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| - | \\ | ||
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| - | ======Hit rolls====== | ||
| - | This section relates to the probability of rolling a four, five, or six when rolling x amount of dice. This is used with all offensive and defensive formulas | ||
| - | |||
| - | ====At least==== | ||
| - | This table shows the probabilities for rolling at least that many fours, fives, or sixes | ||
| - | |||
| - | ^Result^1d6^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
| - | |1|50.0%|75.0%|87.5%|93.8%|96.9%|98.4%|99.2%|99.6%|99.8%|100%| | ||
| - | |2||25.0%|50.0%|68.8%|81.3%|89.1%|93.8%|96.5%|98.0%|99.0%| | ||
| - | |3|||12.5%|31.3%|50.0%|65.6%|77.3%|85.5%|91.0%|94.5%| | ||
| - | |4||||6.3%|18.8%|34.8%|50.0%|63.7%|74.6%|82.9%| | ||
| - | |5|||||3.1%|10.9%|22.7%|36.3%|50.0%|62.3%| | ||
| - | |6||||||1.6%|6.3%|14.5%|25.4%|37.7%| | ||
| - | |7|||||||0.8%|3.5%|9.0%|17.2%| | ||
| - | |8||||||||0.4%|2.0%|5.5%| | ||
| - | |9|||||||||0.2%|1.1%| | ||
| - | |10||||||||||0.1%| | ||
| - | |||
| - | ====Exact probability==== | ||
| - | This table shows the probabilities for rolling a specific number successful dice, or dice that roll a "4","5", or "6". The result column represents the number of successful dice. The remaining columns show the probability of rolling that many successful dice, given the respective amount of dice rolled | ||
| - | |||
| - | ^Result^1d6^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
| - | |0|50.0%|25.0%|12.5%|6.3%|3.1%|1.6%|0.8%|0.4%|0.2%|0.1%| | ||
| - | |1|50.0%|50.0%|37.5%|25.0%|15.6%|9.4%|5.5%|3.1%|1.8%|1.0%| | ||
| - | |2||25.0%|37.5%|37.5%|31.25%|23.4%|16.4%|10.9%|7.0%|4.4%| | ||
| - | |3|||12.5%|25.0%|31.3%|31.3%|27.3%|21.9%|16.4%|11.7%| | ||
| - | |4||||6.3%|15.6%|23.4%|27.3%|27.3%|24.6%|20.5%| | ||
| - | |5|||||3.1%|9.4%|16.4%|21.9%|24.6%|24.6%| | ||
| - | |6||||||1.6%|5.5%|10.9%|16.4%|20.5%| | ||
| - | |7|||||||0.8%|3.1%|7.0%|11.7%| | ||
| - | |8||||||||0.4%|1.8%|4.4%| | ||
| - | |9|||||||||0.2%|1.0%| | ||
| - | |10||||||||||0.1%| | ||
| - | |||
| - | \\ | ||
| - | \\ | ||
| - | ====== Damage rolls, saves ====== | ||
| - | This section relates to the probability of rolling a specific number when you add up the results of the dice rolled, which applies when rolling damage and when making saving throws | ||
| - | |||
| - | ====100% probability==== | ||
| - | The following table shows the probabilities for rolling a specific number, given different amounts of dice, with no filters | ||
| - | |||
| - | ^Result^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
| - | |1| | ||
| - | |2| 2.8%| | ||
| - | |3| 5.5%| 0.5%| | ||
| - | |4| 8.3%| 1.4%| 0.08%| | ||
| - | |5| 11.1%| 2.8%| 0.31%| 0.01%| | ||
| - | |6| 13.9%| 4.6%| 0.77%| 0.06%| 0.00%| | ||
| - | |7| **16.7%**| 6.9%| 1.54%| 0.19%| 0.01%| 0.00%| | ||
| - | |8| 13.9%| 9.7%| 2.70%| 0.45%| 0.05%| 0.00%| 0.00%| | ||
| - | |9| 11.1%| 11.6%| 4.32%| 0.90%| 0.12%| 0.01%| 0.00%| 0.00%| | ||
| - | |10| 8.3%| **12.5%**| 6.17%| 1.62%| 0.27%| 0.03%| 0.00%| 0.00%| 0.00%| | ||
| - | |11| 5.5%| **12.5%**| 8.02%| 2.64%| 0.54%| 0.08%| 0.01%| 0.00%| 0.00%| | ||
| - | |12| 2.7%| 11.6%| 9.65%| 3.92%| 0.98%| 0.17%| 0.02%| 0.00%| 0.00%| | ||
| - | |13| -| 9.7%| 10.80%| 5.40%| 1.62%| 0.32%| 0.05%| 0.00%| 0.00%| | ||
| - | |14| -| 6.9%| **11.27%**| 6.94%| 2.49%| 0.60%| 0.10%| 0.01%| 0.00%| | ||
| - | |15| -| 4.6%| 10.80%| 8.37%| 3.57%| 1.00%| 0.20%| 0.03%| 0.00%| | ||
| - | |16| -| 2.8%| 9.65%| 9.45%| 4.82%| 1.58%| 0.37%| 0.06%| 0.01%| | ||
| - | |17| -| 1.4%| 8.02%| **10.03%**| 6.12%| 2.34%| 0.62%| 0.12%| 0.02%| | ||
| - | |18| -| 0.5%| 6.17%| **10.03%**| 7.35%| 3.27%| 1.00%| 0.23%| 0.04%| | ||
| - | |19| -| -| 4.32%| 9.45%| 8.37%| 4.33%| 1.52%| 0.39%| 0.08%| | ||
| - | |20| -| -| 2.70%| 8.37%| 9.05%| 5.45%| 2.18%| 0.64%| 0.14%| | ||
| - | |21| -| -| 1.54%| 6.94%| **9.28%**| 6.55%| 3.00%| 0.98%| 0.24%| | ||
| - | |22| -| -| 0.77%| 5.40%| 9.05%| 7.50%| 3.92%| 1.45%| 0.40%| | ||
| - | |23| -| -| 0.31%| 3.92%| 8.37%| 8.20%| 4.90%| 2.04%| 0.63%| | ||
| - | |24| -| -| 0.08%| 2.64%| 7.35%| **8.58%**| 5.88%| 2.75%| 0.95%| | ||
| - | |25| -| -| -| 1.62%| 6.12%| **8.58%**| 6.77%| 3.56%| 1.37%| | ||
| - | |26| -| -| -| 0.90%| 4.82%| 8.20%| 7.48%| 4.44%| 1.90%| | ||
| - | |27| -| -| -| 0.45%| 3.57%| 7.50%| 7.93%| 5.32%| 2.54%| | ||
| - | |28| -| -| -| 0.19%| 2.49%| 6.55%| **8.09%**| 6.15%| 3.26%| | ||
| - | |29| -| -| -| 0.06%| 1.62%| 5.45%| 7.93%| 6.84%| 4.05%| | ||
| - | |30| -| -| -| 0.01%| 0.98%| 4.33%| 7.48%| 7.35%| 4.84%| | ||
| - | |31| -| -| -| -| 0.54%| 3.27%| 6.77%| **7.61%**| 5.61%| | ||
| - | |32| -| -| -| -| 0.27%| 2.34%| 5.88%| **7.61%**| 6.28%| | ||
| - | |33| -| -| -| -| 0.12%| 1.58%| 4.90%| 7.35%| 6.82%| | ||
| - | |34| -| -| -| -| 0.05%| 1.00%| 3.92%| 6.84%| 7.15%| | ||
| - | |35| -| -| -| -| 0.01%| 0.60%| 3.00%| 6.15%| **7.27**%| | ||
| - | |36| -| -| -| -| 0.00%| 0.32%| 2.18%| 5.32%| 7.15%| | ||
| - | |37| -| -| -| -| -| 0.17%| 1.52%| 4.44%| 6.82%| | ||
| - | |38| -| -| -| -| -| 0.08%| 1.00%| 3.56%| 6.28%| | ||
| - | |39| -| -| -| -| -| 0.03%| 0.62%| 2.75%| 5.61%| | ||
| - | |40| -| -| -| -| -| 0.01%| 0.37%| 2.04%| 4.84%| | ||
| - | |41| -| -| -| -| -| 0.00%| 0.20%| 1.45%| 4.05%| | ||
| - | |42| -| -| -| -| -| 0.00%| 0.10%| 0.98%| 3.26%| | ||
| - | |43| -| -| -| -| -| -| 0.05%| 0.64%| 2.54%| | ||
| - | |44| -| -| -| -| -| -| 0.02%| 0.39%| 1.90%| | ||
| - | |45| -| -| -| -| -| -| 0.01%| 0.23%| 1.37%| | ||
| - | |46| -| -| -| -| -| -| 0.00%| 0.12%| 0.95%| | ||
| - | |47| -| -| -| -| -| -| 0.00%| 0.06%| 0.63%| | ||
| - | |48| -| -| -| -| -| -| 0.00%| 0.03%| 0.40%| | ||
| - | |49| -| -| -| -| -| -| -| 0.01%| 0.24%| | ||
| - | |50| -| -| -| -| -| -| -| 0.00%| 0.14%| | ||
| - | |51| -| -| -| -| -| -| -| 0.00%| 0.08%| | ||
| - | |52| -| -| -| -| -| -| -| 0.00%| 0.04%| | ||
| - | |53| -| -| -| -| -| -| -| 0.00%| 0.02%| | ||
| - | |54| -| -| -| -| -| -| -| 0.00%| 0.01%| | ||
| - | |55| -| -| -| -| -| -| -| -| 0.00%| | ||
| - | |56| -| -| -| -| -| -| -| -| 0.00%| | ||
| - | |57| -| -| -| -| -| -| -| -| 0.00%| | ||
| - | |58| -| -| -| -| -| -| -| -| 0.00%| | ||
| - | |59| -| -| -| -| -| -| -| -| 0.00%| | ||
| - | |60| -| -| -| -| -| -| -| -| 0.00%| | ||
| - | ^Result^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
| - | |||
| - | \\ | ||
| - | \\ | ||
| - | ==== 99% Probability ==== | ||
| - | This is the same table as above, but with anything that is below a 1% chance filtered out for readability | ||
| - | |||
| - | ^Result^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
| - | |1| | ||
| - | |2| 2.8%| | ||
| - | |3| 5.5%| | ||
| - | |4| 8.3%| 1.4%| | ||
| - | |5| 11.1%| 2.8%| | ||
| - | |6| 13.9%| 4.6%| | ||
| - | |7| **16.7%**| 6.9%| 1.54%| | ||
| - | |8| 13.9%| 9.7%| 2.70%| | ||
| - | |9| 11.1%| 11.6%| 4.32%| | ||
| - | |10| 8.3%| **12.5%**| 6.17%| 1.62%| | ||
| - | |11| 5.5%| **12.5%**| 8.02%| 2.64%| | ||
| - | |12| 2.7%| 11.6%| 9.65%| 3.92%| | ||
| - | |13| -| 9.7%| 10.80%| 5.40%| 1.62%| | ||
| - | |14| -| 6.9%| **11.27%**| 6.94%| 2.49%| | ||
| - | |15| -| 4.6%| 10.80%| 8.37%| 3.57%| 1.00%| | ||
| - | |16| -| 2.8%| 9.65%| 9.45%| 4.82%| 1.58%| | ||
| - | |17| -| 1.4%| 8.02%| **10.03%**| 6.12%| 2.34%| | ||
| - | |18| -| -| 6.17%| **10.03%**| 7.35%| 3.27%| 1.00%| | ||
| - | |19| -| -| 4.32%| 9.45%| 8.37%| 4.33%| 1.52%| | ||
| - | |20| -| -| 2.70%| 8.37%| 9.05%| 5.45%| 2.18%| | ||
| - | |21| -| -| 1.54%| 6.94%| **9.28%**| 6.55%| 3.00%| | ||
| - | |22| -| -| -| 5.40%| 9.05%| 7.50%| 3.92%| 1.45%| | ||
| - | |23| -| -| -| 3.92%| 8.37%| 8.20%| 4.90%| 2.04%| | ||
| - | |24| -| -| -| 2.64%| 7.35%| **8.58%**| 5.88%| 2.75%| | ||
| - | |25| -| -| -| 1.62%| 6.12%| **8.58%**| 6.77%| 3.56%| 1.37%| | ||
| - | |26| -| -| -| -| 4.82%| 8.20%| 7.48%| 4.44%| 1.90%| | ||
| - | |27| -| -| -| -| 3.57%| 7.50%| 7.93%| 5.32%| 2.54%| | ||
| - | |28| -| -| -| -| 2.49%| 6.55%| **8.09%**| 6.15%| 3.26%| | ||
| - | |29| -| -| -| -| 1.62%| 5.45%| 7.93%| 6.84%| 4.05%| | ||
| - | |30| -| -| -| -| -| 4.33%| 7.48%| 7.35%| 4.84%| | ||
| - | |31| -| -| -| -| -| 3.27%| 6.77%| **7.61%**| 5.61%| | ||
| - | |32| -| -| -| -| -| 2.34%| 5.88%| **7.61%**| 6.28%| | ||
| - | |33| -| -| -| -| -| 1.58%| 4.90%| 7.35%| 6.82%| | ||
| - | |34| -| -| -| -| -| 1.00%| 3.92%| 6.84%| 7.15%| | ||
| - | |35| -| -| -| -| -| -| 3.00%| 6.15%| **7.27**%| | ||
| - | |36| -| -| -| -| -| -| 2.18%| 5.32%| 7.15%| | ||
| - | |37| -| -| -| -| -| -| 1.52%| 4.44%| 6.82%| | ||
| - | |38| -| -| -| -| -| -| 1.00%| 3.56%| 6.28%| | ||
| - | |39| -| -| -| -| -| -| -| 2.75%| 5.61%| | ||
| - | |40| -| -| -| -| -| -| -| 2.04%| 4.84%| | ||
| - | |41| -| -| -| -| -| -| -| 1.45%| 4.05%| | ||
| - | |42| -| -| -| -| -| -| -| -| 3.26%| | ||
| - | |43| -| -| -| -| -| -| -| -| 2.54%| | ||
| - | |44| -| -| -| -| -| -| -| -| 1.90%| | ||
| - | |45| -| -| -| -| -| -| -| -| 1.37%| | ||
| - | ^Result^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
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| - | \\ | ||
| - | \\ | ||
| - | ==== At least probability ==== | ||
| - | This table tells you the probability of rolling //**at least**// the number in the "At Least" column, when you sum the result of varying numbers of dice | ||
| - | |||
| - | ^At Least^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
| - | |2| 100.0%| | ||
| - | |3| 97.22%| 100.0%| | ||
| - | |4| 91.67%| 99.54%| 100.0%| | ||
| - | |5| 83.33%| 98.15%| 99.92%| 100.0%| | ||
| - | |6| 72.22%| 95.37%| 99.61%| 99.99%| 100.0%| | ||
| - | |7| 58.33%| 90.74%| 98.84%| 99.92%| 100.0%| 100.0%| | ||
| - | |8| 41.67%| 83.80%| 97.30%| 99.73%| 99.98%| 100.0%| 100.0%| | ||
| - | |9| 27.78%| 74.07%| 94.60%| 99.28%| 99.94%| 100.0%| 100.0%| 100.0%| | ||
| - | |10| 16.67%| 62.50%| 90.28%| 98.38%| 99.82%| 99.99%| 100.0%| 100.0%| 100.0%| | ||
| - | |11| 8.33%| 50.00%| 84.10%| 96.76%| 99.55%| 99.96%| 100.0%| 100.0%| 100.0%| | ||
| - | |12| 2.78%| 37.50%| 76.08%| 94.12%| 99.01%| 99.88%| 99.99%| 100.0%| 100.0%| | ||
| - | |13| -| 25.93%| 66.44%| 90.20%| 98.03%| 99.72%| 99.97%| 100.0%| 100.0%| | ||
| - | |14| -| 16.2%| 55.63%| 84.80%| 96.41%| 99.39%| 99.92%| 99.99%| 100.0%| | ||
| - | |15| -| 9.26%| 44.37%| 77.85%| 93.92%| 98.79%| 99.82%| 99.98%| 100.0%| | ||
| - | |16| -| 4.63%| 33.56%| 69.48%| 90.35%| 97.79%| 99.62%| 99.95%| 100.0%| | ||
| - | |17| -| 1.85%| 23.92%| 60.03%| 85.54%| 96.21%| 99.26%| 99.89%| 99.99%| | ||
| - | |18| -| 0.46%| 15.90%| 50.00%| 79.42%| 93.88%| 98.63%| 99.76%| 99.97%| | ||
| - | |19| -| -| 9.72%| 39.97%| 72.06%| 90.61%| 97.63%| 99.54%| 99.93%| | ||
| - | |20| -| -| 5.4%| 30.52%| 63.69%| 86.28%| 96.11%| 99.15%| 99.85%| | ||
| - | |21| -| -| 2.7%| 22.15%| 54.64%| 80.83%| 93.93%| 98.51%| 99.71%| | ||
| - | |22| -| -| 1.16%| 15.20%| 45.36%| 74.28%| 90.93%| 97.53%| 99.47%| | ||
| - | |23| -| -| 0.39%| 9.80%| 36.31%| 66.78%| 87.02%| 96.08%| 99.06%| | ||
| - | |24| -| -| 0.08%| 5.88%| 27.94%| 58.58%| 82.11%| 94.04%| 98.43%| | ||
| - | |25| -| -| -| 3.24%| 20.58%| 50.00%| 76.23%| 91.29%| 97.48%| | ||
| - | |26| -| -| -| 1.62%| 14.46%| 41.42%| 69.46%| 87.72%| 96.10%| | ||
| - | |27| -| -| -| 0.72%| 9.65%| 33.22%| 61.98%| 83.28%| 94.20%| | ||
| - | |28| -| -| -| 0.27%| 6.08%| 25.72%| 54.05%| 77.96%| 91.66%| | ||
| - | |29| -| -| -| 0.08%| 3.59%| 19.17%| 45.95%| 71.81%| 88.40%| | ||
| - | |30| -| -| -| 0.01%| 1.97%| 13.72%| 38.02%| 64.96%| 84.35%| | ||
| - | |31| -| -| -| -| 0.99%| 9.39%| 30.54%| 57.61%| 79.50%| | ||
| - | |32| -| -| -| -| 0.45%| 6.12%| 23.77%| 50.00%| 73.89%| | ||
| - | |33| -| -| -| -| 0.18%| 3.79%| 17.89%| 42.39%| 67.60%| | ||
| - | |34| -| -| -| -| 0.06%| 2.21%| 12.98%| 35.04%| 60.79%| | ||
| - | |35| -| -| -| -| 0.02%| 1.21%| 9.07%| 28.19%| 53.63%| | ||
| - | |36| -| -| -| -| 0.00%| 0.61%| 6.07%| 22.04%| 46.37%| | ||
| - | |37| -| -| -| -| -| 0.30%| 3.90%| 16.70%| 39.2%| | ||
| - | |38| -| -| -| -| -| 0.10%| 2.40%| 12.30%| 32.4%| | ||
| - | |39| -| -| -| -| -| 0%| 1.40%| 8.70%| 26.1%| | ||
| - | |40| -| -| -| -| -| 0%| 0.7%| 6.00%| 20.5%| | ||
| - | |41| -| -| -| -| -| 0%| 0.4%| 3.90%| 15.7%| | ||
| - | |42| -| -| -| -| -| 0%| 0.2%| 2.50%| 11.6%| | ||
| - | |43| -| -| -| -| -| -| 0.1%| 1.5%| 8.3%| | ||
| - | |44| -| -| -| -| -| -| 0%| 0.9%| 5.8%| | ||
| - | |45| -| -| -| -| -| -| 0%| 0.5%| 3.9%| | ||
| - | |46| -| -| -| -| -| -| 0%| 0.2%| 2.5%| | ||
| - | |47| -| -| -| -| -| -| 0%| 0.1%| 1.6%| | ||
| - | |48| -| -| -| -| -| -| 0%| 0%| 0.9%| | ||
| - | |49| -| -| -| -| -| -| -| 0%| 0.5%| | ||
| - | |50| -| -| -| -| -| -| -| 0%| 0.3%| | ||
| - | |51| -| -| -| -| -| -| -| 0%| 0.1%| | ||
| - | |52| -| -| -| -| -| -| -| 0%| 0.1%| | ||
| - | |53| -| -| -| -| -| -| -| 0%| 0%| | ||
| - | |54| -| -| -| -| -| -| -| 0%| 0%| | ||
| - | |55| -| -| -| -| -| -| -| -| 0%| | ||
| - | |56| -| -| -| -| -| -| -| -| 0%| | ||
| - | |57| -| -| -| -| -| -| -| -| 0%| | ||
| - | |58| -| -| -| -| -| -| -| -| 0%| | ||
| - | |59| -| -| -| -| -| -| -| -| 0%| | ||
| - | |60| -| -| -| -| -| -| -| -| 0%| | ||
| - | ^At Least^2d6^3d6^4d6^5d6^6d6^7d6^8d6^9d6^10d6^ | ||
| - | |||
| - | |||
| - | \\ | ||
| - | \\ | ||
| - | ====== Character creation ====== | ||
| - | When creating a character, you assign dice to each ability. You get one point per "5" or "6" you roll, and you roll twice and keep the better result. Below you can find two tables to help you decide how many dice to spend | ||
| - | |||
| - | The table below gives the range of likely range of numbers you will roll given x number of dice rolled. Your chances of rolling a number within the range is above 90% | ||
| - | |||
| - | ^Dice Rolled^Likely Outcomes^Average Score^ | ||
| - | |6d6 | 1-4 |2.6| | ||
| - | |7d6 | 2-5 |3.0| | ||
| - | |8d6 | 2-5 |3.4| | ||
| - | |9d6 | 2-6 |3.8| | ||
| - | |10d6| 2-6 |4.2| | ||
| - | |11d6| 3-7 |4.5| | ||
| - | |12d6| 3-7 |4.9| | ||
| - | |13d6| 3-7 |5.3| | ||
| - | |14d6| 4-8 |5.7| | ||
| - | |15d6| 4-9 |6.0| | ||
| - | |16d6| 4-9 |6.4| | ||
| - | |17d6| 4-9 |6.8| | ||
| - | |18d6| 5-10 |7.1| | ||
| - | |19d6| 5-10 |7.5| | ||
| - | |20d6| 5-10 |7.8| | ||
| - | |21d6| 5-11 |8.2| | ||
| - | |22d6| 6-11 |8.6| | ||
| - | |23d6| 6-11 |8.9| | ||
| - | |24d6| 6-11 |9.3| | ||
| - | |||
| - | \\ | ||
| - | ==== Exact probability ==== | ||
| - | The table below gives the exact probability of rolling each score, with chances above 10% in bold | ||
| - | |||
| - | ^Dice^1^2^3^4^5^6^7^8^9^10+^ Average Score^ | ||
| - | |6d6|**11.6%**|**34.0%**|**34.7%**|**15.5%**|3.3% |0.3% | | | | | 2.6| | ||
| - | |7d6|6.6% |**25.6%**|**35.8%**|**22.8%**|7.5% |1.3% |0.1% | | | | 3.0| | ||
| - | |8d6|3.7% |**18.1%**|**33.0%**|**28.2%**|**12.9%**|3.4% |0.5% | | | | 3.4| | ||
| - | |9d6|2.0% |**12.2%**|**28.1%**|**30.8%**|**18.6%**|6.7% |1.5% |0.2% | | | 3.8| | ||
| - | |10d6|1.1% |7.9% |**22.3%**|**30.6%**|**23.4%**|**10.8%**|3.2% |0.6% |0.1% | | 4.2| | ||
| - | |11d6|0.6% |4.9% |**16.9%**|**28.2%**|**26.5%**|**15.3%**|5.8% |1.5% |0.2% | | 4.5| | ||
| - | |12d6|0.3% |3.0% |**12.2%**|**24.4%**|**27.7%**|**19.5%**|9.1% |2.9% |0.7% |0.1% | 4.9| | ||
| - | |13d6|0.1% |1.8% |8.5% |**20.1%**|**27.1%**|**22.8%**|**12.8%**|5.1% |1.4% |0.3% | 5.3| | ||
| - | |14d6|0.1% |1.0% |5.7% |**15.8%**|**25.0%**|**24.8%**|**16.5%**|7.7% |2.7% |0.8% | 5.7| | ||
| - | |15d6| |0.6% |3.7% |**11.9%**|**21.9%**|**25.3%**|**19.6%**|**10.8%**|4.4% |1.7% | 6.0| | ||
| - | |16d6| |0.3% |2.4% |8.7% |**18.4%**|**24.5%**|**21.9%**|**14.0%**|6.6% |3.2% | 6.4| | ||
| - | |17d6| |0.2% |1.5% |6.2% |**14.9%**|**22.6%**|**23.2%**|**16.9%**|9.1% |5.4% | 6.8| | ||
| - | |18d6| |0.1% |0.9% |4.3% |**11.7%**|**20.0%**|**23.3%**|**19.3%**|**11.9%**|8.5% | 7.1| | ||
| - | |19d6| |0.1% |0.6% |2.9% |8.8% |**17.1%**|**22.4%**|**21.0%**|**14.6%**|**12.5%**| 7.5| | ||
| - | |20d6| | |0.3% |1.9% |6.5% |**14.1%**|**20.8%**|**21.8%**|**16.9%**|**17.5%**| 7.8| | ||
| - | |21d6| | |0.2% |1.3% |4.7% |**11.3%**|**18.6%**|**21.7%**|**18.8%**|**23.4%**| 8.2| | ||
| - | |22d6| | |0.1% |0.8% |3.3% |8.9% |**16.1%**|**20.8%**|**20.0%**|**30.0%**| 8.6| | ||
| - | |23d6| | |0.1% |0.5% |2.3% |6.7% |**13.5%**|**19.3%**|**20.5%**|**37.0%**| 8.9| | ||
| - | |24d6| | | |0.3% |1.6% |5.0% |**11.0%**|**17.4%**|**20.3%**|**44.3%**| 9.3| | ||
| - | |||
| - | \\ | ||
| - | ==== At least ==== | ||
| - | This table conveys the probability of getting a score of at least x given the number of dice rolled | ||
| - | ^Dice Rolled^1^2^3^4^5^6^7^8^9^ | ||
| - | |6d6| 99.2%| 87.7%| 53.7%| 19.0%| 3.5%| 0.3%| | | | | ||
| - | |7d6| 99.7%| 93.1%| 67.4%| 31.7%| 8.8%| 1.4%| 0.1% | | | ||
| - | |8d6| 99.8%| 96.2%| 78.1%| 45.0%| 16.8%| 3.9%| 0.5%| | | | ||
| - | |9d6| 99.9%| 98.0%| 85.8%| 57.7%| 26.9%| 8.3%| 1.6%| 0.2%| | | ||
| - | |10d6| | 98.9%| 91.1%| 68.7%| 38.1%| 14.7%| 3.9%| 0.7%| 0.1%| | ||
| - | |11d6| | 99.4%| 94.5%| 77.7%| 49.4%| 22.9%| 7.6%| 1.8%| 0.3%| | ||
| - | |12d6| | 99.7%| 96.7%| 84.5%| 60.1%| 32.4%| 12.8%| 3.7%| 0.8%| | ||
| - | |13d6| | 99.9%| 98.1%| 89.6%| 69.5%| 42.4%| 19.6%| 6.8%| 1.8%| | ||
| - | |14d6| | 99.9%| 98.9%| 93.2%| 77.4%| 52.4%| 27.7%| 11.2%| 3.5%| | ||
| - | |15d6| | | 99.4%| 95.6%| 83.7%| 61.8%| 36.5%| 16.9%| 6.1%| | ||
| - | |16d6| | | 99.6%| 97.2%| 88.5%| 70.1%| 45.6%| 23.7%| 9.7%| | ||
| - | |17d6| | | 99.8%| 98.3%| 92.1%| 77.2%| 54.6%| 31.4%| 14.5%| | ||
| - | |18d6| | | 99.9%| 99.0%| 94.7%| 83.0%| 63.0%| 39.7%| 20.4%| | ||
| - | |19d6| | | | 99.4%| 96.5%| 87.6%| 70.5%| 48.1%| 27.1%| | ||
| - | |20d6| | | | 99.6%| 97.7%| 91.2%| 77.0%| 56.2%| 34.5%| | ||
| - | |21d6| | | | 99.8%| 98.5%| 93.8%| 82.5%| 63.9%| 42.2%| | ||
| - | |22d6| | | | 99.9%| 99.1%| 95.8%| 86.9%| 70.8%| 50.0%| | ||
| - | |23d6| | | | | 99.4%| 97.1%| 90.4%| 76.9%| 57.6%| | ||
| - | |24d6| | | | | 99.6%| 98.1%| 93.1%| 82.0%| 64.7%| | ||
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| - | \\ | ||
| \\ | \\ | ||
| - | ====== Psychometry ====== | + | [[Calculation Methods]] |
| - | The following table conveys the percentage of rolling "At least" the value in the column heading given the number of dice rolled, when rolling for Psychometry's Temporal Formula | + | |
| - | ^Dice Rolled^At least 5^At least 6^At least 7^Exactly 8^ | + | |
| - | |8d6 |54.3% |22.8% |4.4% |0.2%| | + | |
| - | |9d6 |65.7% |34.1% |9.6% |0.9%| | + | |
| - | |10d6 |74.3% |45.1% |16.6% |2.4%| | + | |
| - | |11d6 |80.8% |54.5% |23.6% |4.5%| | + | |
| - | |12d6 |85.8% |63.0% |32.0% |7.9%| | + | |
| - | |13d6 |89.3% |70.0% |39.9% |11.9%| | + | |
| - | |14d6 |91.9% |75.6% |47.2% |16.6%| | + | |
| - | |15d6 |93.9% |80.2% |53.9% |21.6%| | + | |
| - | |16d6 |95.4% |84.2% |60.3% |27.3%| | + | |
| - | |17d6 |96.5% |87.1% |65.5% |32.6%| | + | |
| - | |18d6 |97.3% |89.5% |70.2% |38.1%| | + | |
wiki/dice_probabilities.1486278052.txt.gz · Last modified: 2017/02/05 02:00 by caleymccready
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