A Rollable Table With a Nonlinear Distribution

Is it possible to build one?  That is to say if I has a table that called for rolling a 2d6 that is not the same as entering in 11 results into a rollable table.  A 2d6 will roll around 7 more often than a 2 or 12.  A rollable table will roll a 2, 7, or 12 equally.  So can I build a rollable table that doesn't have a linear distribution? Do I need to nest rollable tables to do this?  Or do I need to do percentage estimates of the results?  (ie a 2 ~ 2.77%, 3 ~5.55% etc.)

Sure, just enter the appropriate weights for each entry.

So maybe I don't understand weights.  What are the weights appropriate for the results of say a 2d6 roll?

Value Possible Combinations Weight 2 1[1] 1 3 1[2], 2[1] 2 4 1[3], 2[2], 3[1] 3 5 1[4], 2[3], 3[2], 4[1] 4 6 1[5], 2[4], 3[3], 4[2], 5[1] 5 7 1[6], 2[5], 3[4], 4[3], 5[2], 6[1] 6 8 2[6], 3[5], 4[4], 5[3], 6[2] 5 9 3[6], 4[5], 5[4], 6[3] 4 10 4[6], 6[5], 6[4] 3 11 5[6], 6[5] 2 12 6[6] 1

The weights don't accept decimals, but you can enter any weights you want, they don't have to add up to 100. So just multiply all those percentages by 100 to get 277 and 555 respectively for the weights of the 2 and 3. Based on the  rumkin dice averager , your percentages would be: Roll Freq Prob 2 1 2.8% 3 2 5.6% 4 3 8.3% 5 4 11.1% 6 5 13.9% 7 6 16.7% 8 5 13.9% 9 4 11.1% 10 3 8.3% 11 2 5.6% 12 1 2.8%  Which would turn into this for rollable table weights: Roll Freq Prob 2 1 28 3 2 56 4 3 83 5 4 111 6 5 139 7 6 167 8 5 139 9 4 111 10 3 83 11 2 56 12 1 28  Yep, or as Kyle posted, you can just use the frequency column as the weights.

The weights are how many different ways there is to roll the specified result. So for 2d6, there is only one way to roll a 2, so the weight would be 1. There are 2 ways to roll a 3 so the weight would be 2, and so on. Here are the weights for a 2d6... Result 2; weight 1 Result 3; weight 2 Result 4; weight 3 Result 5; weight 4 Result 6; weight 5 Result 7; weight 6 Result 8; weight 5 Result 9; weight 4 Result 10; weight 3 Result 11; weight 2 Result 12; weight 1

Gotcha - Thanks all.

Another easy way to think of 'weights' is 'copies in deck'. If you wanted a rollable table or a deck of cards that would have 8x 1, 6x 2, 3x 3, 2x 4, 1x 5, and 4x 0... then you just put the 'copy' number in for weights.