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  • Three Curtains

    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?

  • #2
    Originally posted by rstrats View Post
    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?
    Change to curtain 2.

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    • #3
      Anyone disagree with Sparko?

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      • #4
        Originally posted by rstrats View Post
        Anyone disagree with Sparko?
        I do!

        Oh wait. Never mind.

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        • #5
          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

          "Forgiveness is the way of love." Gary Chapman

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          • #6
            It makes no difference.
            The first to state his case seems right until another comes and cross-examines him.

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            • #7
              Cow 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?

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              • #8

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                • #9
                  Originally posted by rstrats View Post
                  Cow 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?
                  So, 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?
                  The first to state his case seems right until another comes and cross-examines him.

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                  • #10
                    Originally posted by Sparko View Post
                    You're picking on Mickiel again, aren't you?
                    The first to state his case seems right until another comes and cross-examines him.

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                    • #11
                      Originally posted by Cow Poke View Post
                      So, 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?
                      No 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.

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                      • #12
                        Originally posted by Sparko View Post
                        No 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.
                        No, cause I don't never win nuthin. And don't EVEN get behind me in line at Walmart.
                        The first to state his case seems right until another comes and cross-examines him.

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                        • #13
                          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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                          • #14
                            http://math.ucsd.edu/~crypto/cgi-bin...monty2?0+19305

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                            • #15
                              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?

                              Comment

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