releppes's blog

Simplified weighted dice mechanic

Wed, 11/03/2010 - 20:52 — releppes

This is a simplified dice mechanic using standard d6 dice to balance 5 unique weighted distributions.

Define the following events:

A = {6,5,4,3,2}
B = {6,5,4,3}
C = {6,5,4}
D = {6,5}
E = {6}

Meaning event B is rolling a 3 or better. The probability of event B is 4:6

Weight each event as:

A(12) B(15) C(20) D(30) E(60)

The weighted events have an average value of 10. If multiple dice are thrown, the weighted average will be 10 times the number of dice:

Wed, 11/03/2010 - 15:35 — releppes

This is a multi-dice mechanic which balances 5 unique events each with unique probability distributions.

Weight dice as follows:

d20: {A,A,A,A,A,A,B,B,B,B,B,C,C,C,C,D,D,D,E,E}
d12: {B,B,B,B,B,C,C,C,C,D,D,D}
d8: {B,B,B,B,B,D,D,D}
d8: {A,A,A,A,A,A,E,E}
d6: {A,A,A,C,C,E}

Assign event weights::

A(10), B(12), C(15), D(20), E(30)

NOTE: Dice weight and event weight are NOT synonymous. The dice weight of event B on d8 is 5:8. The dice weight of event B on d12 is 5:12.

Sun, 10/03/2010 - 00:17 — releppes

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