Tue May 20 22:05:21 2025

monty_hall_simulation_test():
  python version: 3.10.12
  numpy version:  1.26.4
  monty_hall_simulation() simulates the Monty Hall
  prize winning game, in which a prize is hidden behind
  one of several doors.

  Number of trials =  100000

Doors  No-switch winning      Switch winning
       Observed  Predicted  Observed  Predicted
   n                 1/n              n-1/n-2 * 1/n
   3    0.3328    0.3333    0.6668    0.6667
   4    0.2487      0.25    0.3735     0.375
   5    0.1998       0.2    0.2654    0.2667
   6     0.164    0.1667    0.2073    0.2083
   7    0.1409    0.1429    0.1731    0.1714
   8    0.1252     0.125    0.1468    0.1458
   9    0.1118    0.1111    0.1253     0.127
  10   0.09909       0.1    0.1115    0.1125
Tue May 20 22:05:52 2025