Reformist Muslim

Exploring possibilities for the future of Islam and other thoughts

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Location: London, United Kingdom

Sunday, August 21, 2005

Mind Game

Here's a mind game for you.

You are a contestant on a game show. There are 3 doors. Behind 2 doors are goats and behind one of the doors there is a car. The aim is to choose the car.

You are asked to choose one of the 3 doors. The game show host then opens one of the doors revealing a goat (It is important to note that he knows what is behind each of the doors and will never reveal the door with the car behind it).

Before revealing what was behind the door that you initially selected, the gameshow host gives you the option of switching to the other door which is still concealed.

Do you
a) stay with your original choice
b) switch to the other door
c) it doesn't matter what you do

Answers with explanations in the comments section please. I'll post the answer with explanation in a few days.

5 Comments:

Anonymous Ashok said...

Make the question clearer. Does the host decide beforehand which door he opens?

4:05 pm, August 22, 2005  
Blogger reformist_muslim said...

After the contestant has chosen a door for the first time, the host opens one of the other two doors revealing a goat.

At least one of these other two doors has to be a goat and the host will never open a door revealing a car as that would ruin the game.

Enjoy!

p.s this is a maths not a lateral thinking problem

7:28 pm, August 22, 2005  
Blogger airrahul said...

Mr. Reformist_muslim, I did this problem in my Stats class this year.

Let me tell you how I'd go about it. I forget why doing it the way I'm about to describe give's you the best chance but I remember quite clearly that it does.

The host shows me the three doors. Let's call them A, B, and C.

I pick door B. The Host opens door A and it has a goat. To maximize my chances of getting that car, I switch to door C and somehow now have more man a 50% chance of getting that car.

Anyhow, that's my answer.

BTW, you're blog rocks.

8:56 pm, August 23, 2005  
Blogger reformist_muslim said...

thanx airrahul, i'll be checking out your blog as well.

8:25 pm, August 26, 2005  
Blogger Abdul-Halim V. said...

it is better to switch. 1/3 of the time, you land on the car in the beginning, the host (Monte Hall) will show you a goat, and another goat will be left behind the third door.

But 2/3 of the time, most of the time, you land on a goat in the beginning, Monte will open up the other goat, and the car will be behind the third door. So you will get the car most of the time if you switch.

3:56 pm, September 16, 2005  

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