import random

def one_time(switch):
	potential_choices = [1, 2, 3]
	winnig_choice = random.choice(potential_choices)
	initial_quess = random.choice(potential_choices)
	for i, num in enumerate(potential_choices):
		if num == winnig_choice: continue
		if num == initial_quess: continue
		del potential_choices[i]
		break
	if not switch:
		return initial_quess == winnig_choice
	return next(i for i in potential_choices if i != initial_quess) == winnig_choice

def many_times(switch, times = 100_000):
	wins = losses = 0
	for _ in range(times):
		if one_time(switch):
			wins += 1
		else:
			losses += 1
	print(wins, "wins,", losses, "losses")

print("Without switching:")
many_times(False)
print("With switching:")
many_times(True)

PS D:\> python .\MHD.py
Without switching:
33486 wins, 66514 losses
With switching:
66525 wins, 33475 losses
PS D:\> python .\MHD.py
Without switching:
33180 wins, 66820 losses
With switching:
66576 wins, 33424 losses
PS D:\> python .\MHD.py
Without switching:
33434 wins, 66566 losses
With switching:
66791 wins, 33209 losses
PS D:\> python .\MHD.py
Without switching:
33400 wins, 66600 losses
With switching:
66662 wins, 33338 losses
PS D:\> python .\MHD.py
Without switching:
33377 wins, 66623 losses
With switching:
66620 wins, 33380 losses
PS D:\> python .\MHD.py
Without switching:
32989 wins, 67011 losses
With switching:
66824 wins, 33176 losses