[2020] I did a bunch of probability analysis on Hands of the High Templar

So I got bored and decided I wanted to know how hard it really is to get 5 implicits on Hands of the High Templar. In order to answer this I wrote a simple python script to run 100,000 simulations and plot the results. The basic premise is there is a 1/4 chance to add an implicit, 1/4 chance to add a white socket, 1/4 chance to do nothing, and 1/4 chance to brick the gloves.

The plot is basic histogram where the bars are color divided into 25% of sample size chunks. X axis is number of attempts, Y Axis is number of samples that achieved 5 implicit at that at that number of attempts.

results

python program

Interesting Findings

• The average number of bricked gloves necessary to get a 5 implicit gloves is 32
• The average number of vaal orbs used bricking all those gloves to get a 5 implicit glove is 124
• There is about a 25% chance that you can get a 5 implicit glove in 10 attempts or less!
• There is also a 25% chance that it takes anywhere from 45-90 attempts

Script is easy to tweak. Please feel free to copy it and mess with it and post more comments about what you find.