Everybody knows the famous Monty Hall problem http://en.wikipedia.org/wiki/Monty_Hall_problem
I will try again and I am sorry if I was not clear enough but please understand that I am here and asking because I dont know the answer and also because my english is not my mother language it is not that easy for me to formulate the question clear enough.
Suppose the host are asking 2 people to come on the stage to chose a door out of 3 and is asking the younger one to chose first. The participants are not allowed to chose the same door. The Host will open the 3rd door. In case the price is behind this opened 3rd door the 2 participants will go home without a price. In case the goat is behind the 3rd door the participants wil be asked if they want to stay or to switch. What is the better solution? To stay or to switch.
Now 2nd question/option. The Host will ask 2 people to come on the stage and are asked to chose one door but each one needs to write it on a piece of paper without the other one can see which door he is choosing. When choosing this way it can happen that both will chose the same door or in case of different doors the Host could open the 3rd door and the price will be behind this door. Then both Participants will go home without the price. In case the goat is behind door 3, what will be the best to do? Switch or stay? Regarding this question it looks to me that Henry gave the correct answer IMHO. thanks