| Topic Name: |
Brainteaser |
| Message Name: |
A subtitution |
| Date Posted: |
09/26/2001 |
| In Reply To: |
The answer is prisoner 3, who is wearing a black hat. He knows this because prisoners 1 and 2 can not answer.
Prisoner 1 can see 2 (wearing red) and 3 (wearing black). Thus prisoner 1 can not work out the colour of his own hat. Similarly prisoner 2 can see 1 (wearing red) and 3 (wearing black) and again cannot work out the colour of his own hat. Prisoners 1 and 2 must be wearing the red hats as neither is able to answer. As there are only two red hats, prisoner 3 can rightly state he is wearing a black hat. |
| Message: |
Given the logic presented, why not have the following.
Prisoner 1 can see 2 (wearing black) and 3 (wearing red). Thus prisoner 1 can not work out the colour of his own hat. Similarly, prisoner 2 can see 1 (wearing black) and 3 (wearing red) and again cannot work out the colour of his own hat. Prisoners 1 and 2 must be wearing black hats as neither is able to answer.
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