Probabilities

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=======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

**General Mechanics**
  * [[Hit Roll Probabilities]] - Offensive and Defensive talent formulas
  * [[Sum Roll Probabilities]] - Damage and Saving throws
  * [[Character Creation Probabilities]] - Assigning initial ability scores

**Talent Mechanics**
  * [[Psychometry Probabilities]]
  * [[Retrocognition Probabilities]]



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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%|

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====== 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^

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==== 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^


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====== 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|

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==== 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|

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==== 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 ======
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%|
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