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hats and snow

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mu

unread,
Mar 29, 2001, 1:42:17 PM3/29/01
to
There are 3 people in a room (A,B and C). A and B are blind-folded, C is
blind.
A fourth person (D) enters with 5 hats - 3 black and 2 white - and places a
hat on A,B and C and then hides the remaining 2.
D then removes A's blind fold - so he can see what colour hat B and C are
wearing but not his own. D asks him if he knows what colour hat he is
wearing - he says he doesn't.
D then removes B's blind fold and asks the same question - B says he
doesn't know.
D then asks C if he knows what colour hat he's wearing - he says he does.

What colour hat is C wearing, and how did he know?


And any ideas on the following riddle?

Once was white as snow,
then green as clover,
then red as blood,
you know me well...

Carl G.

unread,
Mar 29, 2001, 1:57:47 PM3/29/01
to

mu wrote in message <99vvl5$n4t$1...@newsg1.svr.pol.co.uk>...

>And any ideas on the following riddle?
>
>Once was white as snow,
>then green as clover,
>then red as blood,
>you know me well...

Possible answer
v
v
v

Possible answer
v
v
v

Possible answer
v
v
v


The riddle seems to describing a tree-covered landscape in winter,
spring/summer, and fall.

Carl G.


Steve Fry

unread,
Mar 29, 2001, 6:54:53 PM3/29/01
to

mu wrote:
>
> There are 3 people in a room (A,B and C). A and B are blind-folded, C is
> blind.
> A fourth person (D) enters with 5 hats - 3 black and 2 white - and places a
> hat on A,B and C and then hides the remaining 2.
> D then removes A's blind fold - so he can see what colour hat B and C are
> wearing but not his own. D asks him if he knows what colour hat he is
> wearing - he says he doesn't.
> D then removes B's blind fold and asks the same question - B says he
> doesn't know.
> D then asks C if he knows what colour hat he's wearing - he says he does.
>
> What colour hat is C wearing, and how did he know?

9

8

7

6

5

4

3

2

1

The blind man, C, must have a black hat.
Both A and B must have seen either two black hats or one black and one
white,
since two whites would let them know they had black. In both cases C
must
have a black hat.

>
> And any ideas on the following riddle?
>
> Once was white as snow,
> then green as clover,
> then red as blood,
> you know me well...

I thought this is an apple: White flower, green when unripe, and red
when ripe.

-- Steve F.

RONI LI AM

unread,
Mar 29, 2001, 10:44:46 PM3/29/01
to
mu wrote:

> There are 3 people in a room (A,B and C). A and B are blind-folded, C is
> blind.
> A fourth person (D) enters with 5 hats - 3 black and 2 white - and places a
> hat on A,B and C and then hides the remaining 2.
> D then removes A's blind fold - so he can see what colour hat B and C are
> wearing but not his own. D asks him if he knows what colour hat he is
> wearing - he says he doesn't.

1) A doesn't know his hat so the hat color of B&C is not Both white,
B & C = (Bl & Wh) or (Wh and Bl), or (Bl and Bl)

>
> D then removes B's blind fold and asks the same question - B says he
> doesn't know.

2) B Doesn't know, so C hat can be White (Because B will know that he
wear Black - see No. 1),

> D then asks C if he knows what colour hat he's wearing - he says he does.
>
> What colour hat is C wearing, and how did he know?

3) so C must be wearing BLACK.

Andrew Bromage

unread,
Mar 30, 2001, 12:36:38 AM3/30/01
to
G'day all.

"mu" <mount...@beand.freeserve.co.uk> writes:

>There are 3 people in a room (A,B and C). A and B are blind-folded, C is
>blind.
>A fourth person (D) enters with 5 hats - 3 black and 2 white - and places a
>hat on A,B and C and then hides the remaining 2.

Do A, B & C know that there are three black and two white hats? If
they don't, there's no solution.

Cheers,
Andrew Bromage

Rohit Jnagal

unread,
Apr 2, 2001, 9:20:43 AM4/2/01
to
On Thu, 29 Mar 2001, mu wrote:

> There are 3 people in a room (A,B and C). A and B are blind-folded, C is
> blind.
> A fourth person (D) enters with 5 hats - 3 black and 2 white - and places a
> hat on A,B and C and then hides the remaining 2.
> D then removes A's blind fold - so he can see what colour hat B and C are
> wearing but not his own. D asks him if he knows what colour hat he is
> wearing - he says he doesn't.
> D then removes B's blind fold and asks the same question - B says he
> doesn't know.
> D then asks C if he knows what colour hat he's wearing - he says he does.
>
> What colour hat is C wearing, and how did he know?
>


s

p

o

i

l

e

r


A doesnt know the colour of his hat => he sees 2 black or a black and a
white hat

if B sees 2 white hats, he'll know his hat's colour

=> B sees 2 blacks or a black and a white one.

if C is wearing white, B will know that A saw a black and a white hat, so
his hat is black.

B doesnt know => C is wearing black ... and so he concluded

--

Rohit Jnagal


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