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Thread: Monty Hall Dilemma - Winning a GTI on a Game Show

  1. #31
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    Quote Originally Posted by cme2c View Post
    Give the man a Kewpie doll! Pontiac called it a tripower.
    Yes, all proven ways of getting your fuel consumption down into single figures. Unfortunately in those days they were measuring in mpg, and unlike l/100km, single digits mpg is NOT a good thing I'd hate to do a lot of driving in one of those beasts these days if I was paying for the fuel out of my own pocket.
    2017 MY18 Golf R 7.5 Wolfsburg wagon (boring white) delivered 21 Sep 2017, 2008 Octavia vRS wagon 2.0 TFSI 6M (bright yellow), 2006 T5 Transporter van 2.5 TDI 6M (gone but not forgotten).

  2. #32
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    Quote Originally Posted by cme2c View Post
    Give the man a Kewpie doll! Pontiac called it a tripower.
    Did Holden have a catchy name for the triple side-drafts on the XU-1?

  3. #33
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    I'd stick to the # I originally chose. If someone asked you to swap lotto tickets with you would you swap knowing the probabilities are the same. Maths isn't my forte but I certainly wouldn't be swapping nor choosing a different door.

  4. #34
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    MK4 GTI - Sold
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  5. #35
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    Quote Originally Posted by gti View Post
    I'd stick to the # I originally chose. If someone asked you to swap lotto tickets with you would you swap knowing the probabilities are the same. Maths isn't my forte but I certainly wouldn't be swapping nor choosing a different door.
    I'm somewhat of a sceptic since there will always be a 50/50 chance on your second choice, however looking at your options (which I stole from the wiki) it looks like this, crazy, but switch does *statistically* win twice as often if you get a chance to make a second choice:



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  6. #36
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    Quote Originally Posted by The_Hawk View Post
    I'm somewhat of a sceptic since there will always be a 50/50 chance on your second choice, however looking at your options (which I stole from the wiki) it looks like this, crazy, but switch does *statistically* win twice as often if you get a chance to make a second choice:


    Wrong. And that picture is also wrong as it doesn't show all the options and combinations. What it should do is break down what also happens when you don't switch. If it did that you would see an even 50/50 split of winning/losing.

    This whole argument is all probability and it's very basic. Regardless of what anyone says, or what wiki says, it's as simple as follows:

    First choice is 1 out of 3 chance of picking the car.
    Second choice is 1 out of 2 chance of picking the car (regardless of whether or not you've picked it already).

    Basically, you will always have a 50/50 chance of winning this. You never have a 33% chance of winning because even when you pick the car on the first choice, probability is reset when you get to make a second choice, even if that second choice is to stick with the first choice.
    Last edited by Rocket36; 13-03-2010 at 03:41 PM.

  7. #37
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    Quote Originally Posted by Rocket36 View Post
    Basically, you will always have a 50/50 chance of winning this.
    I agree, second time around it's always going to be a 50/50 shot at the car.

    ...But then that diagram does actually show all the options. Seems if you blindly take the option to switch choices after being shown one of the goats you technically increase your chances to 2/3 (based on the original three doors you could have chosen).


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  8. #38
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    Quote Originally Posted by The_Hawk View Post
    I agree, second time around it's always going to be a 50/50 shot at the car.

    ...But then that diagram does actually show all the options. Seems if you blindly take the option to switch choices after being shown one of the goats you technically increase your chances to 2/3 (based on the original three doors you could have chosen).
    Second time around is all that counts.

    But regarding switching the second time around, that's only half your options. The other half is to not switch. You need to take ALL options into account if you're going to talk about your chances of winning. And if you do take into account that you can switch or not switch, you only ever win 50% of the time.

  9. #39
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    ahhhh yeah my sister gave me a riddle book with this one.

    the book said the chances of winning the gti were now 2/3, even though (as a math jock in high school- 4 unit baby!) in my mind, the odds remain at 50/50 by process of elimination (of the first door).

    the flaw with the ''riddle'' is that it's using a static set of probabilities: whilst the chances of getting the gti are 1/3 initially, they eliminate one of the doors and yet retain it in as an element, telling you "door one's been exposed and thus you've increased your chances to 2/3 as you're now certain of what's behind door 1".

    my view: it's still 50/50. the moment you open a door, it's outta the picture (from a math standpoint).
    Last edited by Buller_Scott; 13-03-2010 at 05:50 PM.

  10. #40
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    Quote Originally Posted by Buller_Scott View Post
    the book said the chances of winning the gti were now 2/3
    Anyone or anything that says the chances of winning were now 2 out of 3 are being foolish as they're basing that on the very start of the options AFTER the circumstances have changed. The ONLY thing that counts is the circumstances by which you end up winning or losing and that is ALWAYS going to be 50/50 because there are ALWAYS only 2 options and you don't know which is the winning decision.

    So you start out with a 1/3 chance and finish with a 1/2 chance. Because one of the 3 has been removed from your choices and is therefore not 2/3.

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