the precise odds, found by the much simpler and much more mathematically correct methods of either iteration or formulae are what should be used; they're as much a test of your RNG as the math.
all odds below calculated using loop iteration via python
ndS [Fail, simple success, +1Ꞇ, +2Ꞇ, +3Ꞇ,+4Ꞇ, +5Ꞇ, +6Ꞇ] total count
6dS TN16 [10720, 178040, 223740, 112500, 30000, 4500, 360, 12] 559872
5dS TN16 [6958, 31792, 36260, 14990, 3000, 300, 12, 0] 93312
4dS TN16 [3359, 4945, 5220, 1776, 240, 12, 0, 0] 15552
3dS TN16 [1188, 630, 600, 162, 12, 0, 0, 0] 2592
2dS TN16 [314, 60, 50, 8, 0, 0, 0, 0] 432
1dS TN16 [65, 5, 2, 0, 0, 0, 0, 0] 72
0dS TN16 [11, 1, 0, 0, 0, 0, 0, 0] 12
Now, to make it readble in percentagee chances of success with N+ successes; I dumped the above into Libre Calc...
Code: Select all
Dice/TN __F%__ __S%__ _S+1Ꞇ_ _S+2Ꞇ_ _S+3Ꞇ_ _S+4Ꞇ_ _S+5Ꞇ_ _S+6Ꞇ_
6dS TN16 1.915 98.085 66.285 26.322 6.22 0.87 0.066 0.002
5dS TN16 7.457 92.544 58.473 19.614 3.55 0.335 0.013 0
4dS TN16 21.599 78.402 46.605 13.04 1.62 0.077 0 0
3dS TN16 45.833 54.167 29.861 6.713 0.463 0 0 0
2dS TN16 72.685 27.315 13.426 1.852 0 0 0 0
1dS TN16 90.278 9.722 2.778 0 0 0 0 0
0dS TN16 91.667 8.333 0 0 0 0 0 0