So I would imagine everyone has heard of the game show theory as it has been in various tv/movies including 21 and numb3rs.(adsbygoogle = window.adsbygoogle || []).push({});

But to refresh your mind.

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1 [but the door is not opened], and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

I have heard some people say yes you do have an advantage because you start with a 1/3 chance and when the card is flipped you have double the chance of winning if you swap choices.

But I have heard other people argue the other way.

Just curious to hear what you all have to say about it.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Game Show Theory

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**