Improved draft lottery probability calculation

In my previous blog post about the 3-2-1 lottery , I wrote about how the probabilities for each pick change depending on how many teams trigger the top-1/top-5 constraints: [The probabilities] depend on how many teams in the lottery have constraints on winning the #1 or a top 5 pick, and whether those teams have 1, 2, or 3 chances. In theory I could find every possible scenario and precompute them…