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The warming up game
A puzzle of trust and lies, allies and spiesSherlock Holmes is at a PartyMurdered down the Rabbit Hole (a long logic puzzle)Edward and the seven imps' GameThe know-it-all twinsWhat's the logic of your logical-magical stick, Mr. Supervisor?The last question to the guardsName the trollsLewis Carroll's Logic Problem #1, page 386Who attempted to betray the Boston King?
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
The theater group began today with a warming up game.
Everyone has been assigned a role and is now either a bad guy who always lies, or a good guy who always tells the truth.
Max, who comes late, is asked to explore the roles of Jan and Jörg through yes-no questions.
"Are you both good guys ?", he asks Jan, who is full in his role, but his answer is not enough to know who has which role.
Max asks Jörg: "Is Jan a good guy ?"
After Jörgs answer Max is fully informed and can name the roles of the two.
What counts ?
(A) Both are evil.
(B) Both are good.
(C) Jan is a good guy,
Jörg a bad guy.
(D) Jörg is a good guy,
Jan a bad guy.
logical-deduction liars
edited 8 hours ago
jafe
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asked 8 hours ago
MattiMatti
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Matti is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$
add a comment |
$begingroup$
The theater group began today with a warming up game.
Everyone has been assigned a role and is now either a bad guy who always lies, or a good guy who always tells the truth.
Max, who comes late, is asked to explore the roles of Jan and Jörg through yes-no questions.
"Are you both good guys ?", he asks Jan, who is full in his role, but his answer is not enough to know who has which role.
Max asks Jörg: "Is Jan a good guy ?"
After Jörgs answer Max is fully informed and can name the roles of the two.
What counts ?
(A) Both are evil.
(B) Both are good.
(C) Jan is a good guy,
Jörg a bad guy.
(D) Jörg is a good guy,
Jan a bad guy.
logical-deduction liars
edited 8 hours ago
jafe
30.9k4 gold badges88 silver badges316 bronze badges
asked 8 hours ago
MattiMatti
5451 silver badge13 bronze badges
New contributor
Matti is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
The theater group began today with a warming up game.
Everyone has been assigned a role and is now either a bad guy who always lies, or a good guy who always tells the truth.
Max, who comes late, is asked to explore the roles of Jan and Jörg through yes-no questions.
"Are you both good guys ?", he asks Jan, who is full in his role, but his answer is not enough to know who has which role.
Max asks Jörg: "Is Jan a good guy ?"
After Jörgs answer Max is fully informed and can name the roles of the two.
What counts ?
(A) Both are evil.
(B) Both are good.
(C) Jan is a good guy,
Jörg a bad guy.
(D) Jörg is a good guy,
Jan a bad guy.
logical-deduction liars
edited 8 hours ago
jafe
30.9k4 gold badges88 silver badges316 bronze badges
asked 8 hours ago
MattiMatti
5451 silver badge13 bronze badges
New contributor
Matti is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
The theater group began today with a warming up game.
Everyone has been assigned a role and is now either a bad guy who always lies, or a good guy who always tells the truth.
Max, who comes late, is asked to explore the roles of Jan and Jörg through yes-no questions.
"Are you both good guys ?", he asks Jan, who is full in his role, but his answer is not enough to know who has which role.
Max asks Jörg: "Is Jan a good guy ?"
After Jörgs answer Max is fully informed and can name the roles of the two.
What counts ?
(A) Both are evil.
(B) Both are good.
(C) Jan is a good guy,
Jörg a bad guy.
(D) Jörg is a good guy,
Jan a bad guy.
logical-deduction liars
logical-deduction liars
edited 8 hours ago
jafe
30.9k4 gold badges88 silver badges316 bronze badges
asked 8 hours ago
MattiMatti
5451 silver badge13 bronze badges
New contributor
Matti is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 8 hours ago
jafe
30.9k4 gold badges88 silver badges316 bronze badges
asked 8 hours ago
MattiMatti
5451 silver badge13 bronze badges
New contributor
Matti is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 8 hours ago
jafe
30.9k4 gold badges88 silver badges316 bronze badges
edited 8 hours ago
jafe
30.9k4 gold badges88 silver badges316 bronze badges
edited 8 hours ago
jafe
30.9k4 gold badges88 silver badges316 bronze badges
30.9k4 gold badges88 silver badges316 bronze badges
asked 8 hours ago
MattiMatti
5451 silver badge13 bronze badges
New contributor
Matti is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 8 hours ago
MattiMatti
5451 silver badge13 bronze badges
asked 8 hours ago
MattiMatti
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5451 silver badge13 bronze badges
New contributor
Matti is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Check out our Code of Conduct.
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Answer:
(D) Jörg is a good guy, Jan a bad guy.
Method:
If Jan answers "no," Max knows C. So Jan answered "yes" and C cannot be the case.
If Jörg answers "yes," Max does not know if A or B. So Jörg answered "no" and D must be the case.
answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
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RShields is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$
2
$begingroup$
The big acting game I remember from high school was freeze tag,
$endgroup$
– RShields
8 hours ago
add a comment |
$begingroup$
Let's explore every single possibility to find the answer.
If Jan says "yes" to the answer, then that means that there is no possible situation where C is possible. That means we have A, B, and D left.
If Jörg then says yes, then if he was evil, A would be correct. However, if he was good, then B must have been the answer. This means we cannot be sure if both said yes.
If Jörg said no, then if he was evil, A would be correct. But if he was good, then D must be correct. This means we cannot be sure if if Jan said yes and Jörg said no.
This means we have disproved Jan saying yes to the first question.
So now...
If Jörg said yes, and he was evil then A must be correct. However if he was good, then B must be correct. This means Jörg did not say yes and Jan said no.
We now know that Jörg said no and Jan said no. If Jörg was evil, this would mean C is true. If Jörg was good, then D is true. But if D was true, Jan would be evil and this would create a paradox because of the first question. This means that C is the answer.
Final Answer:
C is correct, and Jan and Jörg both said no.
edited 7 hours ago
Adam
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answered 7 hours ago
XDVVXDVV
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XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
If Jan says "no," we actually don't satisfy the criterion, "Jan's answer is not enough to know both roles."
$endgroup$
– RShields
27 mins ago
add a comment |
Your Answer
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Answer:
(D) Jörg is a good guy, Jan a bad guy.
Method:
If Jan answers "no," Max knows C. So Jan answered "yes" and C cannot be the case.
If Jörg answers "yes," Max does not know if A or B. So Jörg answered "no" and D must be the case.
answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
New contributor
RShields is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
2
$begingroup$
The big acting game I remember from high school was freeze tag,
$endgroup$
– RShields
8 hours ago
add a comment |
$begingroup$
Answer:
(D) Jörg is a good guy, Jan a bad guy.
Method:
If Jan answers "no," Max knows C. So Jan answered "yes" and C cannot be the case.
If Jörg answers "yes," Max does not know if A or B. So Jörg answered "no" and D must be the case.
answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
New contributor
RShields is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
2
$begingroup$
The big acting game I remember from high school was freeze tag,
$endgroup$
– RShields
8 hours ago
add a comment |
$begingroup$
Answer:
(D) Jörg is a good guy, Jan a bad guy.
Method:
If Jan answers "no," Max knows C. So Jan answered "yes" and C cannot be the case.
If Jörg answers "yes," Max does not know if A or B. So Jörg answered "no" and D must be the case.
answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
New contributor
RShields is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Answer:
(D) Jörg is a good guy, Jan a bad guy.
Method:
If Jan answers "no," Max knows C. So Jan answered "yes" and C cannot be the case.
If Jörg answers "yes," Max does not know if A or B. So Jörg answered "no" and D must be the case.
answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
New contributor
RShields is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
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RShields is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
answered 8 hours ago
RShieldsRShields
8011 silver badge9 bronze badges
8011 silver badge9 bronze badges
New contributor
RShields is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor
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Check out our Code of Conduct.
2
$begingroup$
The big acting game I remember from high school was freeze tag,
$endgroup$
– RShields
8 hours ago
add a comment |
2
$begingroup$
The big acting game I remember from high school was freeze tag,
$endgroup$
– RShields
8 hours ago
2
2
$begingroup$
The big acting game I remember from high school was freeze tag,
$endgroup$
– RShields
8 hours ago
$begingroup$
The big acting game I remember from high school was freeze tag,
$endgroup$
– RShields
8 hours ago
add a comment |
$begingroup$
Let's explore every single possibility to find the answer.
If Jan says "yes" to the answer, then that means that there is no possible situation where C is possible. That means we have A, B, and D left.
If Jörg then says yes, then if he was evil, A would be correct. However, if he was good, then B must have been the answer. This means we cannot be sure if both said yes.
If Jörg said no, then if he was evil, A would be correct. But if he was good, then D must be correct. This means we cannot be sure if if Jan said yes and Jörg said no.
This means we have disproved Jan saying yes to the first question.
So now...
If Jörg said yes, and he was evil then A must be correct. However if he was good, then B must be correct. This means Jörg did not say yes and Jan said no.
We now know that Jörg said no and Jan said no. If Jörg was evil, this would mean C is true. If Jörg was good, then D is true. But if D was true, Jan would be evil and this would create a paradox because of the first question. This means that C is the answer.
Final Answer:
C is correct, and Jan and Jörg both said no.
edited 7 hours ago
Adam
5051 gold badge2 silver badges21 bronze badges
answered 7 hours ago
XDVVXDVV
1887 bronze badges
New contributor
XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
If Jan says "no," we actually don't satisfy the criterion, "Jan's answer is not enough to know both roles."
$endgroup$
– RShields
27 mins ago
add a comment |
$begingroup$
Let's explore every single possibility to find the answer.
If Jan says "yes" to the answer, then that means that there is no possible situation where C is possible. That means we have A, B, and D left.
If Jörg then says yes, then if he was evil, A would be correct. However, if he was good, then B must have been the answer. This means we cannot be sure if both said yes.
If Jörg said no, then if he was evil, A would be correct. But if he was good, then D must be correct. This means we cannot be sure if if Jan said yes and Jörg said no.
This means we have disproved Jan saying yes to the first question.
So now...
If Jörg said yes, and he was evil then A must be correct. However if he was good, then B must be correct. This means Jörg did not say yes and Jan said no.
We now know that Jörg said no and Jan said no. If Jörg was evil, this would mean C is true. If Jörg was good, then D is true. But if D was true, Jan would be evil and this would create a paradox because of the first question. This means that C is the answer.
Final Answer:
C is correct, and Jan and Jörg both said no.
edited 7 hours ago
Adam
5051 gold badge2 silver badges21 bronze badges
answered 7 hours ago
XDVVXDVV
1887 bronze badges
New contributor
XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
If Jan says "no," we actually don't satisfy the criterion, "Jan's answer is not enough to know both roles."
$endgroup$
– RShields
27 mins ago
add a comment |
$begingroup$
Let's explore every single possibility to find the answer.
If Jan says "yes" to the answer, then that means that there is no possible situation where C is possible. That means we have A, B, and D left.
If Jörg then says yes, then if he was evil, A would be correct. However, if he was good, then B must have been the answer. This means we cannot be sure if both said yes.
If Jörg said no, then if he was evil, A would be correct. But if he was good, then D must be correct. This means we cannot be sure if if Jan said yes and Jörg said no.
This means we have disproved Jan saying yes to the first question.
So now...
If Jörg said yes, and he was evil then A must be correct. However if he was good, then B must be correct. This means Jörg did not say yes and Jan said no.
We now know that Jörg said no and Jan said no. If Jörg was evil, this would mean C is true. If Jörg was good, then D is true. But if D was true, Jan would be evil and this would create a paradox because of the first question. This means that C is the answer.
Final Answer:
C is correct, and Jan and Jörg both said no.
edited 7 hours ago
Adam
5051 gold badge2 silver badges21 bronze badges
answered 7 hours ago
XDVVXDVV
1887 bronze badges
New contributor
XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Let's explore every single possibility to find the answer.
If Jan says "yes" to the answer, then that means that there is no possible situation where C is possible. That means we have A, B, and D left.
If Jörg then says yes, then if he was evil, A would be correct. However, if he was good, then B must have been the answer. This means we cannot be sure if both said yes.
If Jörg said no, then if he was evil, A would be correct. But if he was good, then D must be correct. This means we cannot be sure if if Jan said yes and Jörg said no.
This means we have disproved Jan saying yes to the first question.
So now...
If Jörg said yes, and he was evil then A must be correct. However if he was good, then B must be correct. This means Jörg did not say yes and Jan said no.
We now know that Jörg said no and Jan said no. If Jörg was evil, this would mean C is true. If Jörg was good, then D is true. But if D was true, Jan would be evil and this would create a paradox because of the first question. This means that C is the answer.
Final Answer:
C is correct, and Jan and Jörg both said no.
edited 7 hours ago
Adam
5051 gold badge2 silver badges21 bronze badges
answered 7 hours ago
XDVVXDVV
1887 bronze badges
New contributor
XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 7 hours ago
Adam
5051 gold badge2 silver badges21 bronze badges
edited 7 hours ago
Adam
5051 gold badge2 silver badges21 bronze badges
edited 7 hours ago
Adam
5051 gold badge2 silver badges21 bronze badges
5051 gold badge2 silver badges21 bronze badges
answered 7 hours ago
XDVVXDVV
1887 bronze badges
New contributor
XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 7 hours ago
XDVVXDVV
1887 bronze badges
answered 7 hours ago
XDVVXDVV
1887 bronze badges
1887 bronze badges
New contributor
XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
XDVV is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
If Jan says "no," we actually don't satisfy the criterion, "Jan's answer is not enough to know both roles."
$endgroup$
– RShields
27 mins ago
add a comment |
$begingroup$
If Jan says "no," we actually don't satisfy the criterion, "Jan's answer is not enough to know both roles."
$endgroup$
– RShields
27 mins ago
$begingroup$
If Jan says "no," we actually don't satisfy the criterion, "Jan's answer is not enough to know both roles."
$endgroup$
– RShields
27 mins ago
$begingroup$
If Jan says "no," we actually don't satisfy the criterion, "Jan's answer is not enough to know both roles."
$endgroup$
– RShields
27 mins ago
add a comment |
Matti is a new contributor. Be nice, and check out our Code of Conduct.
Matti is a new contributor. Be nice, and check out our Code of Conduct.
Matti is a new contributor. Be nice, and check out our Code of Conduct.
Matti is a new contributor. Be nice, and check out our Code of Conduct.
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