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RPG Math

Percentages for 3d6 roll

3d6216
3+100.0%18-10.5%
4+99.5%17-31.4%
5+98.1%16-62.8%
6+95.4%15-104.6%
7+90.7%14-156.9%
8+83.8%13-219.7%
9+74.1%12-2511.6%
10+62.5%11-2712.5%
11+50.0%10-2712.5%
12+37.5%9-2511.6%
13+25.9%8-219.7%
14+16.2%7-156.9%
15+9.3%6-104.6%
16+4.6%5-62.8%
17+1.9%4-31.4%
18+0.5%3-10.5%

Quick Synopsis

A 3d6 roll has 216 possible results.

Your chance of rolling a four or more (4+) on 3d6 is 99.5%
Your chance of rolling an seventeen or less (17-) on 3d6 is 99.5%.

A roll of exactly four appears three times in the 216 possible rolls.
A roll of exactly seventeen appears three times in the 216 possible rolls.

Your chance of rolling exactly a four on 3d6 is 1.4%.
Your chance of rolling exactly an seventeen on 3d6 is 1.4%.

Complete Legend

3d6216
4+99.5%17-31.4%

Headers

The first header cell is the dice we are considering.

The second header cell is the total number of possible rolls of the dice. On 3d6 there are exactly 216 possible combinations of the dice: 1:1:1, 1:1:2, 1:1:3, etc.

Rows

The first three columns list the percentage chance of rolling greater than or equal to a specific number, or less than or equal to a specific number. In the sample entry, it shows the percentage chance of rolling greater than or equal to four (4+), or less than or equal to seventeen (17-), is 99.5%.

The last two columns list the percentage chance of rolling any specific number. In the sample entry, it shows that the number four (or seventeen) appears three times in the 216 possible rolls of 3d6. This is a 1.4% chance of rolling a four (or seventeen) on 3d6.







Last modified: 2002-Jun-13 22:11:44

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