Same thing, but in Python

asdf.py

import copy
import random

people = [0, 1, 2, 3, 4, 5, 6, 7]
tries = 1000000
count = 0

for _ in range(tries):
  shuffled_people = copy.copy(people)
  random.shuffle(shuffled_people)

  any_same_place = any([p[0] == p[1] for p in enumerate(shuffled_people)])
  if not(any_same_place):
    count += 1

print(float(count) / tries)