Horse Game

Mix.install([
  {:kino, "~> 0.14.2"},
  {:kino_explorer, "~> 0.1.23"}
])

Section

require Explorer.DataFrame, as: DF
require Explorer.Series, as: Series

rolls_df = 
  DF.join(
    DF.new(dice1: 1..6), 
    DF.new(dice2: 1..6), how: :cross
  )
  |> DF.mutate(roll: dice1 + dice2) 
  |> DF.group_by("roll") 
  |> DF.summarise(n: Series.size(roll)) 
  |> DF.put(:steps, Explorer.Series.from_list([3, 6, 8, 11, 14, 16, 14, 11, 8, 6, 3]))
  |> DF.mutate(
    prob: n/Series.sum(n),
    prob_steps: steps/Series.sum(steps)
  )