Comments on: 4 Criminals problem : Logical Solution

By: rakendu sharma

rakendu sharma — Mon, 12 May 2008 11:43:28 +0000

case 1
1 2 3 4
B B W W (FIXED)
B W B
W B B

———
case 2

W W B B(FIXED)
W B W
B W W

GOING TRHU THE ABOVE RESULTS THE SECOND NO WILL WAIT FOR A WHILE FOR 1 PERSON TO RESPOND, IF HE DOESNâ€™T HE WILL TELL THE OPPOSITE OF THE 3 RD PERSONS COLOR OF HAT.

Rakendu

By: Sharad Agarwal

Sharad Agarwal — Wed, 24 Oct 2007 07:16:56 +0000

Here is the answer of this question::

2 shouts first. If 2 and 3 were wearing the same colored hats, 1 would know his hat color. Becasue 1 can only see two opposite colored hats, he can’t guess his own. When no one shouts anything, 2 knows that 1 must be seeing two different colored hats, and correctly chooses that his hat is the opposite of 3.

~SA

By: Anand

Anand — Sun, 21 Oct 2007 07:42:47 +0000

and the next person to shoot would be obiviously No.3 cause he wouldnt get a confirmation from No.1.

By: ankit

ankit — Fri, 12 Oct 2007 12:08:43 +0000

By: srinath

srinath — Tue, 02 Oct 2007 23:24:55 +0000

Ankit,
If you say what Chirag said was wrong, can you provide your solution to us. I find that the solution stated is proving to be more logical.
Please advice

By: Vinod

Vinod — Mon, 23 Apr 2007 10:47:15 +0000

The man who calls out is no: 2

Because after a short time, no: 1 has not shouted out what colour hat he is wearing. So no: 2 knows that he cannot be wearing the same colour hat as the person in front of him. If he was then no: 1 would see two black hats and would therefore know that his hat must be white.

No: 2can confidently shout out that the hat he is wearing is white since he isn’t wearing the same colour hat as the man in front and the man in front is wearing a black hat.

By: Vismay

Vismay — Fri, 18 Nov 2005 14:05:03 +0000

Chirags ans is write. But he can convince by saying :

Since Man 1 can see 2 ppls hat, he wud shout only if both 2 & 3 are wearing the same hat. Since No.2 dont receive anything from him, he can conclude that since 2 & 3 have diff colors….. he’s not able to conclude.

This makes man 2 to conclude tht his hat color is diff from tht of 3 viz. he shouts White.

By: Mr.Chirag Mehta

Mr.Chirag Mehta — Wed, 16 Nov 2005 12:14:52 +0000

ITs not completely wrong The soln is based on logic and tht logic shows tht 66% chances are tht im right and 33% chances are tht im wrong So i can say tht my answer is scorrect in 2 out of 3 circumstances

By: Ankit

Ankit — Wed, 16 Nov 2005 09:55:05 +0000

Hey Chirag,

Ur asnwer is correct but the way to solve is wrong.

~ Ankit

By: Mr.Chirag Mehta

Mr.Chirag Mehta — Tue, 15 Nov 2005 13:07:25 +0000

prob man wearing white || prob man wearing black
Man1 50% 50%
Man2 66% 33%
Man3 50% 50%
Man4 50% 50%

so i think it man2 and white