Random Distribution Charts

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A (1D20 + 1D12) roll gives 240 possibilities. Which means each permutation, (D20, D12), has a 0.416666667% chance of happening.

Now, you may not want something to have a 1 in 240 chance of happening. Be you a game designer, developer or player, 1 in 240 is pretty slim.

So, how do improve the odds of something happening, but still get the variability 240 different out comes can give?

Well, one way is to group them based on a number that divides into 240. This includes 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240.

Of course, dividing by any of those numbers will give you perfectly even groups, which can be used in many a game. But here at Grifkuba, we prefer to go a different route.

Using statics, we have devised a few charts that break up results of (D20 + D12) across the [normal curve].

This way, the most frequent numbers fall into the biggest categories, and the most seldom fall into the smallest.

Now, the normal curve gets broken up according to 2 numbers: the [mean], [median] and the [standard deviation].

  • The mean, or statistical average, is one of the central numbers for a set of numbers, which for us is 17.
  • The median, which, when sorted in numeric order, is the exact middle number, and is also 17 in our situation.
  • The standard deviation is the number representing how thinly or broadly the other numbers in the set are distributed around, above and bellow, the mean and median. For us, this is 6.73.

Distributing the numbers across the curve, they are distributed by this table. When rolling 1D20+1D12, take the 2 dice, add them together and above or bellow anyone, or between any two numbers in the table bellow.

Min Mean - 2*ST.DEV Mean - 1*ST.DEV Mean Mean + 1*ST.DEV Mean + 2*ST.DEV Max
2 3.53 10.27 17 23.73 30.47 32
red yellow blue
purple orange green purple


Now, each color can corrispons to whatever the Game Designer Chooses. These could be Item Drops, Random Encounters, whatever. And there are just as many ways to put variety into the distribution as there are uses.

One way to to put variety with the chart is to take the full 20x12 and color them according to the same percentages that helped form the above table. These are:

  • Purple or Red = 8%
  • Red or Orange = 16%
  • Orange or Yellow = 25%
  • Yellow or Green = 25%
  • Green or Blue = 16%
  • Blue or Purple = 8%

So, if you wish to introduce a variety, please take the chart below and color only the amount of boxes that fit into the percentages above. They don't have to be exact, but close. If it is electronic, please submit it to us. [How?]


+ 1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12 13
2 3 4 5 6 7 8 9 10 11 12 13 14
3 4 5 6 7 8 9 10 11 12 13 14 15
4 5 6 7 8 9 10 11 12 13 14 15 16
5 6 7 8 9 10 11 12 13 14 15 16 17
6 7 8 9 10 11 12 13 14 15 16 17 18
7 8 9 10 11 12 13 14 15 16 17 18 19
8 9 10 11 12 13 14 15 16 17 18 19 20
9 10 11 12 13 14 15 16 17 18 19 20 21
10 11 12 13 14 15 16 17 18 19 20 21 22
11 12 13 14 15 16 17 18 19 20 21 22 23
12 13 14 15 16 17 18 19 20 21 22 23 24
13 14 15 16 17 18 19 20 21 22 23 24 25
14 15 16 17 18 19 20 21 22 23 24 25 26
15 16 17 18 19 20 21 22 23 24 25 26 27
16 17 18 19 20 21 22 23 24 25 26 27 28
17 18 19 20 21 22 23 24 25 26 27 28 29
18 19 20 21 22 23 24 25 26 27 28 29 30
19 20 21 22 23 24 25 26 27 28 29 30 31
20 21 22 23 24 25 26 27 28 29 30 31 32

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