As with Most role playing games, the Knarf 2 Game relies upon rolls of dice to determined things as Physical Attributes, the success of attacks, the amount of damage, saves, and various random determinations. The dice most commonly used are those with 4, 6, 8, 10, and 20 sides. occasionally 12 and 30 sided dice are used as well. In the shorthand of the game a 6-sided die is referred to as a d6, and two six-sided dice are listed as 2d6.

Many people have misconceptions about dice that may cause problems in the game. The average rolls are also different than what many expect. The average roll of a d6 is 3.5 not 3. The average roll of a d8 is 4.5. Several dice added together do not give the same results as does a single die. This may be seen by comparing the odds for a particular number between 2d6 and a d12. A 1 cannot be rolled with 2d6, a three or twelve is three times less likely to be rolled with 2d6 than with a d12. While a 7 is twice as likely to be rolled with 2d6 than with a d12. The sum of multiple dice is more likely to be closer to the average roll times the dice than it is to be either near the high or low extreme. With rolling a single die there is an equal chace for any number to be rolled.

At higher numbers of dice the results more and more favors the middle numbers. Comparisons of 3d6 and a d20, both with about the same range, brings this result out clearly. The odds of rolling any number on a d20 is 5%. A 1 or 2 can not be rolled with 3d6. The odds of rolling a 3 or an 18 is 0.46% or over ten times less with 3d6 than with a d20. The odds of rolling a 10 or 11 with 3d6 is 12.5% or 2.5 times more then a d20.

Percentile rolls are made by rolling 2d10 or 1d10 rolled twice. The number on the first die is the first digit of the percentage. The number on the second die is the second digit of the percentage. A roll of zero on both dice is counted as 100%.

The numbers generated on a roll may be changed by the addition or subtraction of a fixed amount. For example a d6+l would generate numbers from 2 to 7, with 1 being added to the die roll. A d6-1 would generate numbers from 0 to 5 with 1 being subtracted from the die roll. The notation 1-2/d6 would mean that a roll of 1 or 2 on a d6 would be a successful roll. A notation of 1-5/d6 would mean a 1, 2, 3, 4, or 5 would be successful.