Bell Curve

Home

1d6

All Combinations

Number Occurs

Roll Succeeds

2d6

All Combinations

Number Occurs

Roll Succeeds

3d6

All Combinations

Number Occurs

Roll Succeeds


End

RPG Math

Home

2d6

3d6

Bell Curve

Gaming

Home

RPG / Dice Math

Philosophy

Reality Fault

Referee

Systems

Dragonquest

Hero System

Magic: The Gathering

New Inquisition

Neopets

Runequest

Star Fleet Battles

Traveller

Bob's Page

Home

Fannish

Gaming

Humor

Issues

Projects

Quotes

Rants

Technosphere

Miscellaneous

Links


Personal

Daily Goodies


Planet Ten

Gaming Material

Bell Curves

3d6: How Often A Number Occurs

<< prev |next >>

Total Occurs Percent
3 1 0.46%
4 3 1.39%
5 6 2.78%
6 10 4.63%
7 15 6.94%
8 21 9.72%
9 25 11.57%
10 27 12.50%
11 27 12.50%
12 25 11.57%
13 21 9.72%
14 15 6.94%
15 10 4.63%
16 6 2.78%
17 3 1.39%
18 1 0.46%

This table shows how often any single total occurs when 3d6 are thrown.

The lowest total you can roll on 3d6 is a 3. A 3 appears only once, on a roll of 1-1-1. The highest total is a 18 and appears only once as well, a roll of 6-6-6. Each of the other totals occur more than once. The two most common totals are 10 and 11, which appear twenty-seven times each. You can verify this on the previous page.

In the table, the first column shows the total. The second column shows the number of times each total appears in the 216 possible results. The last column shows the percentage chance of any specific total appearing on any single roll. The total number of times a specific total occurs, divided by the total number of occurances gives the percentage chance for any number to show up.

A total of 3 shows up only once, and there are 216 possible results, so the chance of rolling a 3 is 1/216, or less than 0.5%.

A total of 18 shows up only once as well, so the chance of rolling a 18 is the same as rolling a 3: less than 0.5%.

However, each of the other rolls show up more frequently in the table on the previous page. A total of 10 shows up twenty-seven times, so the chance of rolling 10 is 27/216 or 12.5%.

If you did a graph of these numbers you would see that the curve was vaguely bell-shaped: pointy on the ends and bulgy in the middle.

<< prev |next >>

Copyright © 1999 Bob Simpson. All Rights Reserved.
Last updated: 2001 Nov 29







Last modified: 2002-Feb-14 19:44:31

All material on this site is
Copyright © 2001-2018 Stormtiger, LIC
unless specifically indicated on each document.
All Rights Reserved.

Questions? Problems? Contact the site's Administrator

Valid HTML 4.01!