## [lit-ideas] Re: Try a Logic Problem

• From: "Lloyd Mitchell" <rmitchell@xxxxxxxxxxxx>
• To: <lit-ideas@xxxxxxxxxxxxx>
• Date: Thu, 22 Jun 2006 06:22:58 -0700

```Walter -

You left out another small detail. Prisoner #2 has only one eye. Which is
all he needs. So - what information does #2 have that #1 doesn't have? And
why is he still not able to answer?

Lloyd Mitchell
Now retired from class-discussions of logic problems (including this one)

----- Original Message -----
From: <wokshevs@xxxxxx>
To: <lit-ideas@xxxxxxxxxxxxx>
Sent: Thursday, June 22, 2006 1:15 PM
Subject: [lit-ideas] Re: Try a Logic Problem

> I had a hell of a time getting this message through to the List due to our
> university spam filter. I think the words "bored and lonely" caught it's
eye.
> Trying once again. Cheers,
>
>
> > > Here, as promised, for all the bored and lonely souls, is a problem I
> > > offer my students. I often get e-mail
> > > requests years after the  course from students who have forgotten the
> > > solution and desperately need it for their Saturday evening escapades
and
> > > reflections. I am informed that some have made quick money in pubs
with it
> > > and/or gotten lucky in some other manner. However, I ask for no
> > > commission.
> > >
> > >
> > > A guard tells his 3 prisoners: "Gentlemen, I have here 3 white hats
and 2
> > > red hats. I shall place one hat on each of your heads, but you won't
know
> > > which hat is on your own head. Whoever among you can tell me the
colour of
> > > the hat he's wearing, will be granted an amnesty." The prisoners
> > > immediately  agree. So the guard places one hat on each of the 3
> > > prisoners' heads and  puts the other 2 away. None of the inmates know
> > > which hats were put away and none of the inmates has seen which
colored
> > > hat was placed on his own head.
> > >
> > > The guard now asks prisoner #1 "Can you tell me the colour of the hat
> > > you're wearing. The prisoner responds "No, I cannot."
> > >
> > > The guard then asks prisoner #2 the same question and he receives the
same
> > >
> > > Finally, the guard asks prisoner #3 and prisoner #3 replies that he do
es
> > > indeed know the colour of the hat he's wearing.
> > >
> > > The problem, should you decide to accept it, is: what is the colour of
the
> > > hat #3 is wearing, and more importantly, in logic as in love, how did
he
> > > figure it out?
> > >
> > > I forgot to mention one small detail here. Prisoner #3 is completely
> > > blind.  This is a problem in strict logic, nothing up my sleeves,
Rocky.
> > >
> > > Enjoy!
> > >
> > > We of coure need a prize for the winning solution, should there be
one.
> > > Suggestions? Solutions may be judged communally (i.e., David tells
John
> > > his solution fails at step 5 and why.) This is beginning to look like
a
> > > Web-CT course.
> > >
> > > Walter O.
> > > Department of Logic and Long Gun Registery
> > > Ministry of Tourism and Recreation
> > > Ottawa, Ontario
> > >
> >
>
>
>
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