3 prisoners and 5 hats puzzle

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Three prisoners and five hats (supposedly two black and three white) are involved. The three prisoners are ordered to stand in a straight line facing the front, with C in front and A at the back. They are told that there will be two black hats and three white hats. One hat is then put on each prisoner's head; each prisoner can only see the hats of the people in front of him and not on his own. The first prisoner that is able to announce the color of his hat correctly will be released. No communication between the prisoners is allowed. Who will announce first....?

 He first asks Prisoner C, "What is the color of the hat on your head?" Prisoner C thinks for a short while and then replies, "I'm sorry, I do not know."

 He then asks Prisoner B, "What is the color of the hat on your head?" Prisoner B thinks for a short while and then also replies, "I'm sorry, I do not know."

 He finally asks Prisoner A, "What is the color of the hat on your head?" Prisoner A thinks for a short while and then replies, "I know! The color of my hat is...."

 What color hat is Prisoner A wearing and how did he know?

 Click for Hint:

Comments

  1. anil13 September 2014 at 03:54

    Depends.
    A wins if he sees Black hat for both B and C
    B wins if A doesn't respond and C has Black hat
    C wins if A and B doesn't respond(since he is wearing white obviously)

    ReplyDelete
  2. Vikram Jain13 September 2014 at 04:10

    This comment has been removed by the author.

    ReplyDelete
    Replies
    1. Unknown14 September 2014 at 02:59

      I think Anil is right unless u prove otherwise ..

      Delete
    2. Vikram Jain14 September 2014 at 03:21

      Sorry Folks, Question is updated with more details.

      Delete
  3. Unknown14 September 2014 at 12:42

    So the answer is "White" as Anil already explained

    ReplyDelete
  4. anil19 September 2014 at 03:37

    actually the question should be like this- A should be front and C should be back...
    If i assume your question is true, since A answers correctly, A should wear white.

    ReplyDelete

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