Scheltrum

Roll 4D6

Four six-sided dice with the total and every face. Four dice make 1,296 outcomes with a single peak at fourteen, and they are the standard roll behind character ability scores.

4d6 4

Press roll.

Lowest possible 4, highest 24, average 14.0.

The 4d6 totals

Total Chance Total Chance
4 0.08% 15 10.80%
5 0.31% 16 9.65%
6 0.77% 17 8.02%
7 1.54% 18 6.17%
8 2.70% 19 4.32%
9 4.32% 20 2.70%
10 6.17% 21 1.54%
11 8.02% 22 0.77%
12 9.65% 23 0.31%
13 10.80% 24 0.08%
14 11.27%

Fourteen is the peak, at 146 ways in 1,296. The band 12 to 16 takes 52.2% of rolls and 11 to 17 takes 68.2%, so two thirds of throws land in seven totals out of twenty-one. A 4 or a 24 is 1 in 1,296 either way.

Four dice is where a six stops being unlikely

Add dice and the chance of seeing at least one six climbs: 16.7% with one, 30.6% with two, 42.1% with three, and at four dice it crosses the halfway line for the first time at 51.8%.

Repeats are the rule, not the exception

Only 360 of the 1,296 outcomes show four different faces. That means 72.2% of throws contain at least one repeated number. People expect four dice to spread out more than they do, the same instinct that makes shared birthdays feel impossible.

4d6 drop the lowest

Discard the smallest die and the average shifts from 14 to 12.24. The result is lopsided: 13 is the commonest score at 13.3%, an 18 arrives 21 times in 1,296 or 1.62%, and 15 or better happens on 23.1% of rolls. Straight 3d6 averages only 10.5, which is the reason the drop-lowest method exists. Five dice are at roll 5d6, and every other die shape is on the dice roller.