A4_3 How Heroic is a Hero?

Abstract

The d20 roleplaying system describes the average statistic for a heroic character as ‘12 or 13’. Generating a character’s statistics is achieved by rolling four six-sided dice (4d6) and discarding the lowest value. The distribution of statistics that are generated by this method is illustrated. A comparison to the distribution of statistics generated by rolling three six-sided dice (3d6) is made, and the quoted average is confirmed to be accurate.