Timeline for Lying, truthful and merciless guards (variation)
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 8, 2015 at 13:24 | comment | added | Taemyr | One needs to know a guard that is not merciful and the correct door. Guessing this from no information would have a 2/3*1/3=2/9 chance. This is less than 1/4, so two yes/no questions can not provide the needed information. | |
| Jan 8, 2015 at 13:21 | comment | added | Taemyr | OP doesn't really specify what the three doors are, if there is 2 safe doors and 1 lethal then 2 questions should be possible. If there is only 1 safe door we would need to get more than 1 bit of information to distinguish between the doors. This is impossible with a single yes/no question so we would either need a way to get information about the doors as part of the package when asking about the guards or ask a question that is not yes/no. I suspect both approaches is impossible. However I can't prove this. | |
| Jan 8, 2015 at 13:00 | comment | added | Falco | @Taemyr I changed my solution, so the last one are two yes/no question. I don't think it's possible to get one of 3 Doors with one yes/no question, if a lie is involved... | |
| Jan 8, 2015 at 13:00 | history | edited | Falco | CC BY-SA 3.0 |
Changed final question
|
| Jan 8, 2015 at 12:29 | history | edited | Falco | CC BY-SA 3.0 |
added 741 characters in body
|
| Jan 8, 2015 at 12:25 | comment | added | Falco | @Taemyr But then the Liar could also answer any question with "I don't know" And there would not be any surefire way to ever get a reliable answer :-o | |
| Jan 8, 2015 at 12:17 | comment | added | Taemyr | +1, however I am not completely happy with the second question. The liar could answer "He would say that both doors are equally dangerous.", an obvious lie - but then he is the liar. The questions can be asked as pure yes/no answers which removes this ambiguity. | |
| Jan 8, 2015 at 11:54 | history | answered | Falco | CC BY-SA 3.0 |