Simple scripts to see the likelihood of getting stats like these:

According to Shelby,

This guy rolled for this character and has been banned from rolling for his stats. Please note this is a level 8 character ... His girlfriend is the DM and swears that every dice was hand made by her verified balanced and he rolled in front of her

Requires that Anaconda is installed.

From this directory, run:

conda env create
conda activate check_rolls

From this directory (after setup), run:

python roll_dice.py 1000000 stats.root
python determine_probability.py stats.root probabilities.pdf

This will roll 1,000,000 sets of stats, show the results in probabilities.pdf, and print some values to the console.

For example, the output might look like this:

Probability of all stats being at least:
1: (100.000000+/-0)%
2: (100.000000+/-0)%
3: (100.000000+/-0)%
4: (100.000000+/-0)%
5: (100.000000+/-0)%
6: (99.99990+/-0.00010)%
7: (99.9714+/-0.0017)%
8: (99.703+/-0.005)%
9: (97.935+/-0.014)%
10: (92.001+/-0.027)%
11: (78.67+/-0.04)%
12: (57.03+/-0.05)%
13: (32.40+/-0.05)%
14: (13.109+/-0.034)%
15: (3.441+/-0.018)%
16: (0.503+/-0.007)%
17: (0.0317+/-0.0018)%
18: (0.00080+/-0.00028)%
19: (0.000000+/-0)%