For simplicity's sake, extending the low result of the bell curve only for lower half of result totals, since they generate the exact odds for the the numbers generated for the 11 to 18 results.
net 3 (1 in 216 odds)
net 4 (4 in 216 odds)
net 5 (10 in 216 odds)
net 6 (1,1,4), (1,4,1), (4,1,1), (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), (3,2,1), (2,2,2) ==> 20 in 216 odds of rolling a 6 or lower==> 10 in 108 odds ==> 1 in 10 4/5 odds; Odds in percentage format: 9.259259% (with 259 repeating); Closest equivalent is rolling 2 or less on 1d20.
net 7 (1,1,5), (1,5,1), (5,1,1), (1,2,4), (1,4,2), (2,1,4), (2,4,1), (4,1,2), (4,2,1), (1,3,3), (3,1,3), (3,3,1), (2,2,3), (2,3,2), (3,2,2) ==> 35 in 216 odds of rolling a 7 or lower ==> 1 in 6 6/216 ==> 1 in 6 1/36 odds; Odds in percentage format: 16.2037037 % (with the 037 repeating); Closest equivalent is rolling 3 or less on 1d20.
net 8 (1,1,6), (1,6,1), (6,1,1), (1,2,5), (1,5,2), (2,1,5), (2,5,1), (5,1,2), (5,2,1), (1,3,4), (1,4,3), (3,1,4), (3,4,1), (4,1,3), (4,3,1), (2,2,4), (2,4,2), (4,2,2), (2,3,3), (3,2,3), (3,3,2) ==> 56 in 216 odds of rolling a 8 or lower ==> 1 in 3 48/56 ==> 1 in 3 6/7 odds; Odds in percentage format: 25.925925 % (with the 259 repeating); Closest equivalent is rolling 5 or less on 1d20.
net 9 (1,2,6), (1,6,2), (2,1,6), (2,6,1), (6,1,2), (6,2,1), (1,3,5), (1,5,3), (3,1,5), (3,5,1), (5,1,3), (5,3,1), (1,4,4), (4,1,4), (4,4,1), (2,2,5), (2,5,2), (5,2,2), (2,3,4), (2,4,3), (3,2,4), (3,4,2), (4,2,3), (4,3,2), (3,3,3) ==> 81 in 216 odds of rolling 9 or lower ==> 1 in 2 54/81 ==> 1 in 2 2/3 odds; Odds in percentage format: 37.5 %; Closest equivalent when rolling 1d20 is tied ==> rolling either 7 or less or 8 or less on 1d20.
net 10 (1,3,6), (1,6,3), (3,1,6), (3,6,1), (6,1,3), (6,3,1), (1,4,5), (1,5,4), (4,1,5), (4,5,1), (5,1,4), (5,4,1), (2,2,6), (2,6,2), (6,2,2), (2,3,5), (2,5,3), (3,2,5), (3,5,2), (5,2,3), (5,3,2), (2,4,4), (2,4,2), (4,4,2), (3,3,4), (3,4,3), (4,3,3) ==> 108 in 216 odds ==> 1 in 2 odds; percentage format: 50%; Exact equivalent is rolling 10 or less on 1d20.
Odds of rolling a 6 (or 15) with 3d6 ==> 10 in 216 ==> 1 in 21 3/5; in percentage format: 4.629629 % (with the 629 repeating); Closest equivalent of rolling a specific number on 1d20 (such as 20).
Odds of rolling a 7 (or 14) with 3d6 ==> 15 in 216 ==> 1 in 14 6/216 ==> 1 in 14 1/36; in percentage format: 6.9444444 % (with the 4 repeating); Closest equivalent roll on 1d20 is a specific number (such as 20), Note: Using 6 (or 15) total on 3d6 is better equivalent than 7 (or 14) total on 3d6, since rolling a 6 (or 15) has the smallest absolute value difference to 5 %.)
Odds of rolling a 8 (or 13) with 3d6 ==> 21 in 216 ==> 1 in 10 6/21 ==> 1 in 10 2/7; in percent format: 9.7222222 % (with the 2 repeating); Closest equivalent roll on 1d20 is rolling one of two specific numbers (such as 19 or 20).
Odds of rolling a 9 (or 12) with 3d6 ==> 25 in 216 ==> 1 in 8 16/25; in percent format: 11.5740740 % (with 740 repeating); Closest equivalent roll on 1d20 is rolling one of two specific numbers (such as 19 or 20); Note: Using 8 (or 13) on 3d6 is better equivant than 9 (or 12) on 3d6, since rolling rolling 8 (or 13) has the smallest absolute value difference from 10 %.)
Odds of rolling a 10 (or 11) with 3d6 ==> 27 in 216 ==> 1 in 8 odds; in percentage format: 12.5 %; Closest equivalent roll when rolling 1d20 is tied ==> either rolling one of two specific numbers or one of 3 specific numbers; Note: As rolling a 8 (or 13) is the better equivalent for rolling one of two specific numbers, using a roll of 10 (or 11) is better used to represent one of three specific numbers on 1d20.
Matching up 1d20 rolls to 3d6 totals (starting with highest rolls)
1d20 (20): 16 or higher on 3d6
1d20 (19-20): 15 or higher on 3d6
1d20 (18-20): 14 or higher on 3d6
1d20 (17-20): -
1d20 (16-20): 13 or higher on 3d6
1d20 (15-20): -
1d20 (14-20): 12 or higher on 3d6 (37.5 % odds)
1d20 (13-20): 12 or higher on 3d6 (37.5 % odds)
1d20 (12-20): -
1d20 (11-20): 11 or higher on 3d6
1d20 (1-10): 10 or less on 3d6
1d20 (1-9): -
1d20 (1-8): 9 or less on 3d6 (37.5 % odds)
1d20 (1-7): 9 or less on 3d6 (37.5 % odds)
1d20 (1-6): -
1d20 (1-5): 8 or less on 3d6
1d20 (1-4): -
1d20 (1-3): 7 or less on 3d6
1d20 (1-2): 6 or less on 3d6
1d20 (1): 5 or less on 3d6
1d20 (20): 16 or higher on 3d6
1d20 (19): 15 on 3d6
1d20 (18): 14 on 3d6
1d20 (16 or 17): 13 on 3d6
1d20 (14 or 15): 12 on 3d6
1d20 (11, 12 or 13): 11 on 3d6
1d20 (8, 9 or 10): 10 on 3d6
1d20 (6 or 7): 9 on 3d6
1d20 (4 or 5): 8 on 3d6
1d20 (3): 7 on 3d6
1d20 (2): 6 on 3d6
1d20 (1): 5 or less on 3d6
