Corrupted fish probabilities

So I wrote simple script on JS that calculates probability to get prisoner with 100% blood after feeding them no more than 20 corrupted fish.

Probabilities are:

| Starting blood | Probability |----|---- | 80 | 0.1164% | 81 | 0.2007% | 82 | 0.3495% | 83 | 0.6021% | 84 | 0.9782% | 85 | 1.5408% | 86 | 2.3978% | 87 | 3.6182% | 88 | 5.2693% | 89 | 7.5734% | 90 | 10.611% | 91 | 14.549% | 92 | 19.4843% | 93 | 25.4704% | 94 | 32.6023% | 95 | 40.9252% | 96 | 50.4747% | 97 | 60.5626% | 98 | 72.7212% | 99 | 82.7873%