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 > > > answer. > > > > > > 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 > > > > > > > > > ------------------------------------------------------------------ > To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, > digest on/off), visit www.andreas.com/faq-lit-ideas.html > ------------------------------------------------------------------ To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, digest on/off), visit www.andreas.com/faq-lit-ideas.html