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-   -   Challenging Math Quest|on! (https://www.askmehelpdesk.com/showthread.php?t=326222)

  • Mar 7, 2009, 06:00 PM
    EuRa
    Challenging Math Quest|on!
    Edited. If you are curious as to what this post said, please scroll down to the link below.
  • Mar 7, 2009, 06:09 PM
    Wondergirl

    1 out of 3
  • Mar 7, 2009, 06:19 PM
    EuRa

    Anybody else? And if you could explain why, I would love to hear it.
  • Mar 7, 2009, 06:58 PM
    EuRa

    Woops, I meant to say your answer is incorrect, and that the correct answer is C, but I was going to give you props anyway. :)
  • Mar 7, 2009, 07:00 PM
    kp2171
    It doesn't matter if they reveal a "goat door" or not, and doesn't matter if the member switches.

    There are always three doors, and always only one car.

    The only possible arrangements are

    1 2 3
    G g c
    G c g
    C g g

    That's it... now look down vertically... if you choose ANY door, you will always have a 1 in 3 chance.
  • Mar 7, 2009, 07:02 PM
    kp2171
    Actually, I was wrong and I get it.

    Ill explain...
  • Mar 7, 2009, 07:06 PM
    kp2171
    assuming

    1 2 3
    g g c
    g c g
    c g g

    if I choose door 1, scenario 1 ( g g c)... they'll show me door 2 and I, by your rules, must switch to 3 = car

    if I choose door 1, scenario 2 (g c g)... they'll show me door 3 and I must switch to 2 = car

    if I choose door 1, scenario 3 (c g g)... they'll show me door 2 or 3, and ill switch to a goat door = no car.

    so choosing door one, with a goat door revealed, and a mandated switch (what I ignored at first) will get me a car in 2 or 3 tries.

    same goes for any other door chosen.

    my mistake was ignoring the mandated switch.
  • Mar 7, 2009, 07:14 PM
    galactus

    This is known as the Monty Hall problem.

    See here:

    Monty Hall problem - Wikipedia, the free encyclopedia
  • Mar 7, 2009, 07:36 PM
    EuRa

    Woot! Ty kp2171! I appreciate your efforts greatly!

    galactus is correct. Thanks for the link!

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