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Re: Only the teacher knows the answer eh!

From Odd Bodkin <bodkinodd@gmail.com>
Newsgroups sci.physics.relativity, sci.physics
Subject Re: Only the teacher knows the answer eh!
Date 2018-11-01 14:29 +0000
Organization Aioe.org NNTP Server
Message-ID <prf2jn$7tc$1@gioia.aioe.org> (permalink)
References <Ys0CD.110234$Do.71201@fx31.am4> <unyCD.125069$el1.13951@fx34.am4>

Cross-posted to 2 groups.

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Keith Stein <keithstein111@gmail.com> wrote:
> On 30/10/2018 17:24, Keith Stein wrote:
>>                " TRICK or TREAT ? "
>> 
>> The math teacher came to the door with a box containing sweets,
>> and handed it to the children. "Wait there a moment" he said.
>> 
>> A moment later he reappeared at the door carrying a second box.
>> "Now you must choose which box you want." he says "I can tell you
>> that there is a 50% chance that this box has twice as many sweets,
>> but there is a 50% chance that it only has half as many sweets as
>> that first box, so which box do you want, the first box, or the
>> second box ?".
>> 
>> Witch box should
>>  the children choose ?
> 
> It may be that the best strategy is to swap once, and only once,
> as recommended by Rotchm:
> 
>     "The expectation is higher for the switch."rotchm
> 
> This would indeed be the case if he had prepared a box with 'n' sweets
> to hand initially to the children. He had also prepared a second box 
> with '2n' sweets,and a third box with 'n/2' sweets, which he shuffles
> so that he himself does not know which has '2n' and which has 'n/2'.
> 
> 
> However it could also be true that:
> 
>  "It doesn't matter if you (randomly) take the first box or not;
>   it all evens out in the end, after 100 visits." Jeff Relf
> 
> This would indeed be the case is he had prepared just two boxes,
> one with 'n' sweets, and one with '2n' sweets, which again he
> shuffles, so that he doesn't know witch is witch, and this would
> be easier eh!
> 
> 
> 

Not the only understanding of the problem, though. There could be just two
boxes, one with N treats and one with 2N treats. The boxes are scrambled by
the math teacher so he doesn’t know which one was offered first. 

-- 
Odd Bodkin — Maker of fine toys, tools, tables

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Thread

Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-10-30 17:24 +0000
  Re: Witch box ? Odd Bodkin <bodkinodd@gmail.com> - 2018-10-30 18:13 +0000
    Re: Witch box ? moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-30 19:19 +0000
      Re: Witch box ? RichD <r_delaney2001@yahoo.com> - 2018-11-04 19:39 -0800
        Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-05 09:23 +0000
    Re: Witch box ? moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-30 19:21 +0000
      Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-05 09:49 +0000
  Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-10-30 13:34 -0700
    Re: Witch box ? Buck Dehner <uktaa@yswdooz.ca> - 2018-10-30 21:31 +0000
    Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-10-31 00:48 +0000
      Go to the door 100 times. Jeff-Relf.Me  @. - 2018-10-30 18:32 -0700
        Re: Go to the door 100 times. Keith Stein <keithstein111@gmail.com> - 2018-10-31 05:35 +0000
        Re: Go to the door 100 times. The Starmaker <starmaker@ix.netcom.com> - 2018-10-30 23:33 -0700
          Re: Go to the door 100 times. "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-10-31 23:43 -0700
      Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-10-30 20:20 -0700
        Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-01 14:21 +0000
          Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-11-01 07:23 -0700
            Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-01 14:54 +0000
              Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-11-01 08:19 -0700
              Re: Witch box ? Odd Bodkin <bodkinodd@gmail.com> - 2018-11-01 16:19 +0000
                Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-11-01 09:48 -0700
                Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-06 20:40 +0000
                Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-11-06 13:09 -0800
                Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-06 21:31 +0000
                Re: Witch box ? Odd Bodkin <bodkinodd@gmail.com> - 2018-11-06 22:03 +0000
                Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-11-06 14:39 -0800
                Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-07 00:12 +0000
                Re: Witch box ? rotchm <rotchm@gmail.com> - 2018-11-06 17:18 -0800
                Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-07 04:58 +0000
              Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-01 17:37 +0000
          Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-01 19:46 +0000
  Re: Witch box ? "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-10-30 14:47 -0700
    Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-01 14:35 +0000
      Re: Witch box ? "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-11-05 23:22 -0800
  [OT] Which box? (was: Witch box ?) Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-31 02:31 +0100
    Re: [OT] Which box? (was: Witch box ?) moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-31 03:19 +0000
  Only the teacher knows the answer eh! Keith Stein <keithstein111@gmail.com> - 2018-11-01 07:59 +0000
    Re: Only the teacher knows the answer eh! Keith Stein <keithstein111@gmail.com> - 2018-11-01 13:34 +0000
      Re: Only the teacher knows the answer eh! rotchm <rotchm@gmail.com> - 2018-11-01 07:27 -0700
        Re: Only the teacher knows the answer eh! Keith Stein <keithstein111@gmail.com> - 2018-11-01 15:11 +0000
    Re: Only the teacher knows the answer eh! Odd Bodkin <bodkinodd@gmail.com> - 2018-11-01 14:29 +0000
  Re: Witch box ? "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-11-06 15:24 -0800
    Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-08 09:30 +0000
      Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-08 21:03 +0000
      Re: Witch box ? "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-11-08 22:38 -0800
        Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-09 07:40 +0000
          Re: Witch box ? "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-11-08 23:42 -0800
  Re: Witch box ? Keith Stein <keithstein111@gmail.com> - 2018-11-12 17:01 +0000

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