The whole problem is that you added info to the system which altered the game. It also causes the probability calcs to be completely reshuffled. You can’t carry over probability calcs when info gets added to the system. Example:
I have 10 doors. The prize is behind one: The odds of winning are 10%
I then open the door with the prize and then close it.
Are the odds of winning 10% per door, or 100% on the door I opened and then closed with 0% everywhere else. The information resets the calcs.
