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 of course 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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Originally posted by rstrats View PostYou 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 of course 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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Change to Curtain 2. The odds were that you selected wrong initially (1:3) and since you know the right choice remains it is more likely the curtain you didn't choose.
With thanks to Numb3rs - who says you can't learn anything from TV?"He is no fool who gives what he cannot keep to gain that which he cannot lose." - Jim Elliot
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Originally posted by rstrats View PostCow Poke,
re: "It makes no difference."
What would you do if after your pick of curtain #1, and before any curtain was opened, the host told you that you could switch to BOTH curtains 2 and 3?
I have chosen Curtain #1 out of 3 choices, a 33 1/3 probability of being correct...
I then have a 50/50 chance at staying with curtain #1, or taking another 50/50 chance on Curtains #2 and #3?The first to state his case seems right until another comes and cross-examines him.
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Originally posted by Sparko View PostThe first to state his case seems right until another comes and cross-examines him.
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Originally posted by Cow Poke View PostSo, just to make sure I understand....
I have chosen Curtain #1 out of 3 choices, a 33 1/3 probability of being correct...
I then have a 50/50 chance at staying with curtain #1, or taking another 50/50 chance on Curtains #2 and #3?
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Originally posted by Sparko View PostNo you would have a 1/3 chance of being correct by staying with curtain one, or a 2/3 chance of being correct if you switched to curtains 2 & 3.The first to state his case seems right until another comes and cross-examines him.
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Put down beans and cross out cake,
Let me see, oh dear me.
What a task to undertake,
Milk plus bread, oh my head!
Add, subtract and multiply,
Till you're overcome;
This is much too hard for me,
I can't do the sum!
Securely anchored to the Rock amid every storm of trial, testing or tribulation.
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mossrose,
re: "Put down beans and cross out cake, Let me see, oh dear me. What a task to undertake, Milk plus bread, oh my head! Add, subtract and multiply, Till you're overcome; This is much too hard for me, I can't do the sum!"
What would you do if after your pick of curtain #1, and before any curtain was opened, the host told you that you could switch to BOTH curtains 2 and 3?
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