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# Three Curtains

Fri 11 Oct, 2013 04:43 am
You are a contestant on a game show. There are three curtains. Behind one of the curtains is a new car. You are asked to choose one of the curtains. Lets say that you choose curtain #1. The host of the show - who knows where the car is so as not to end the game prematurely - opens curtain #3 and there is no car behind it. The host now gives you a choice. You can stay with curtain #1 or you can change your choice to curtain #2. The question now is: would it be to your advantage to stay with curtain #1, or would it be to your advantage to change to curtain #2 or would there be no advantage either way?
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fresco

2
Fri 11 Oct, 2013 06:10 am
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rstrats

1
Tue 3 Dec, 2013 12:40 pm
@rstrats,
Anyone agree with fresco?
timur

1
Tue 3 Dec, 2013 12:59 pm
@rstrats,
It has been tested many times:

Quote:
We do a Monty Hall flash mob. The students split into hosts and contestants and pair up. While the hosts set up the game, half the contestants are asked to stick and the other half to switch.

The switchers are normally roughly twice as successful. Last time we had 60 pairs in 30 of which the contestants were always stickers and in the other 30 pairs always switchers:

- Among the 30 switcher contestants, the Cadillac was won 18 times out of 30 - a strike rate of 60%
- Among the 30 sticker contestants, there were 11 successes out of 30, a strike rate of about 36%

So switching proved to be nearly twice as successful in our rough and ready experiment and I breathed a sigh of relief.
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