monty_hall_simulation_test():
  Python version: 3.6.9
  monty_hall_simulation() simulates the Monty Hall
  prize winning game, in which a prize is hidden behind
  one of several doors.

Doors  No-switch winning      Switch winning
       Observed  Predicted  Observed  Predicted

   3    0.3346    0.3333    0.6676    0.6667
   4    0.2509      0.25    0.3755     0.375
   5    0.1983       0.2    0.2678    0.2667
   6    0.1684    0.1667    0.2094    0.2083
   7    0.1437    0.1429    0.1712    0.1714
   8    0.1236     0.125    0.1443    0.1458
   9    0.1113    0.1111     0.127     0.127
  10   0.09977       0.1    0.1125    0.1125