Probability distribution of a D&D 5e ability roll

ability-roll-statistics.txt

Function: Roll 4 d6. Select 3 highest. Sum selected dice.

 Value | Count |     Probability     
-------|-------|---------------------
   3   |   1   | 0.007936507936507936
   4   |   1   | 0.007936507936507936
   5   |   2   | 0.015873015873015872
   6   |   4   | 0.031746031746031744
   7   |   5   | 0.03968253968253968
   8   |   7   | 0.05555555555555555
   9   |  10   | 0.07936507936507936
  10   |  11   | 0.0873015873015873
  11   |  12   | 0.09523809523809523
  12   |  15   | 0.11904761904761904
  13   |  13   | 0.10317460317460317
  14   |  13   | 0.10317460317460317
  15   |  12   | 0.09523809523809523
  16   |   9   | 0.07142857142857142
  17   |   5   | 0.03968253968253968
  18   |   6   | 0.047619047619047616



  ^
15|                   ▓            
14|                   ▓            
13|                   ▓ ▓ ▓        
12|                 ▓ ▓ ▓ ▓ ▓      
11|               ▓ ▓ ▓ ▓ ▓ ▓      
10|             ▓ ▓ ▓ ▓ ▓ ▓ ▓      
 9|             ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓    
 8|             ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓    
 7|           ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓    
 6|           ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓   ▓
 5|         ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓
 4|       ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓
 3|       ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓
 2|     ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓
 1| ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓ ▓
  +-------------------------------->
    3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8
                 1 1 1 1 1 1 1 1 1