Re-roll

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Introduction

Rerolling refers to the process of getting a different set of stats during the character creation process. The term is derived from the paper and dice version of role-playing wherein players would actually roll dice and cross-reference a table in the game manual to generate their characters statistics. If they were unhappy with their statistics, they could re-roll.

Statistical Analysis

Mage

Human

A statistical analysis of approximately 2500 re-rolls was performed to determine the approximate distributions of the levels for each stat. The analysis was performed for a Human Male Mage. The results reflect that Mages receive a bonus on INT and DEX. The results are summarized in the table below:

Stat Level STR INT WIS DEX CON CHR LUC
LOW 41% 0% 41% 9% 40% 43% 41%
BAVG 24% 23% 23% 33% 22% 24% 21%
AVG 16% 29% 16% 29% 18% 15% 17%
AAVG 11% 28% 12% 20% 12% 11% 13%
HIGH 4% 15% 4% 5% 4% 3% 3%
MAX 4% 5% 4% 4% 4% 4% 4%

Graphically the distributions are shown below:

Reroll graph.jpeg

Elf

A second analysis was performed for approximately 850 re-rolls to determine the effect race has on statistics for a given class. Since INT and DEX are appeared to be primary and secondary stats for mages, Elf was selected since they rank 2nd in INT and DEX likely making them an ideal choice for a mage. The results seem to reflect this conclusion. Compare the INT and DEX distributions between the Elf Mage and the Human Mage. The results are summarized in the table below:

Stat Level STR INT WIS DEX CON CHR LUC
LOW 37% 5% 41% 21% 40% 41% 44%
BAVG 26% 23% 26% 27% 24% 19% 23%
AVG 18% 25% 16% 25% 15% 27% 14%
AAVG 11% 13% 11% 9% 13% 7% 12%
HIGH 4% 16% 4% 10% 4% 3% 4%
MAX 5% 18% 3% 7% 4% 4% 3%

Reroll graph elma.jpeg

Warrior

Human

A statistical analysis of approximately 500 re-rolls was performed to determine the approximate distributions of the levels for each stat. The analysis was performed for a Human Male Warrior. The results reflect that Warriors receive a bonus on STR and DEX. The results are summarized in the table below:

Stat Level STR INT WIS DEX CON CHR LUC
LOW 0% 39% 41% 9% 42% 47% 40%
BAVG 22% 21% 23% 32% 18% 18% 23%
AVG 32% 17% 16% 31% 17% 16% 18%
AAVG 27% 14% 13% 19% 15% 12% 11%
HIGH 14% 4% 4% 5% 4% 4% 4%
MAX 5% 4% 4% 3% 4% 4% 5%

Reroll graph huwa.jpeg