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How smart is TYM?

Three prisoners, A, B and C, are in separate cells and sentenced to death. The governor has selected one of them at random to be pardoned. The warden knows which one is pardoned, but is not allowed to tell. Prisoner A begs the warden to let him know the identity of one of the others who is going to be executed. "If B is to be pardoned, give me C's name. If C is to be pardoned, give me B's name. And if I'm to be pardoned, flip a coin to decide whether to name B or C."

The warden tells A that B is to be executed. Prisoner A is pleased because he believes that his probability of surviving has gone up from 1/3 to 1/2, as it is now between him and C. Prisoner A secretly tells C the news, who is also pleased, because he reasons that A still has a chance of 1/3 to be the pardoned one, but his chance has gone up to 2/3. What is the correct answer?
 

Cossner

King of the Jobbers 2015
Prisoner A is pleased because he believes that his probability of surviving has gone up from 1/3 to 1/2,
That makes no sense. If 2 are getting executed, knowing that B or C would get executed changes nothing. He had the same chance from the beginning. The only thing that can change the result is if he gets pardoned. Did the warden threw the coin? Also C is a moron. I don't like him he probably smells too.
 
This one is dedicated to a person from the last thread. (YOU KNOW WHO YOU ARE)
Here's the problem.

Im going to give you guys a 3 number sequence. And I have a rule of mine. That these three numbers obey. And I want you to try and figure out what that rule is.
A way you can get information is by proposing your own set of numbers, in which I'll say,"Yes it follows my rule." Or, "No it doesn't follow my rule." Then you can propose what the rule is.
Here is the three numbers.
2,4,8
Go
EDIT: Ima give this problem its own thread
 
Last edited:

ShadowBeatz

Dropper of Bass and Bombs
This one is dedicated to a person from the last thread. (YOU KNOW WHO YOU ARE)
Here's the problem.

Im going to give you guys a 3 number sequence. And I have a rule of mine. That these three numbers obey. And I want you to try and figure out what that rule is.
A way you can get information is by proposing your own set of numbers, in which I'll say,"Yes it follows my rule." Or, "No it doesn't follow my rule." Then you can propose what the rule is.
Here is the three numbers.
2,4,8
Go
All three number are less than 10. What do I win?
 

Tony at Home

Warrior
The answer is 1/3

the first two must reciprocate each other.

a = nil
b = nil
c = nil

if c == true then
b = false
end
if b == true then
c == false
end
if a == true then
if math.rand() < .5 then
b = false
else
c = false
end
end
if b == false or c == false then
if math.rand() < .5 then -- test if coin was flipped
if math.rand() < .5 then
a = true
else
a = false
else
a = true
end
end


So with similar code, I just replaced b = nil with b = false to indicate b is to be executed. Ran this in a loop in Lua a couple thousand times and it looks like A lives about one third of the time.

The answer is 1/3 (for prisoner A)
 

EnergyKD

AKA KHAOTIC Zeus
The answer is 1/3

the first two must reciprocate each other.

a = nil
b = nil
c = nil

if c == true then
b = false
end
if b == true then
c == false
end
if a == true then
if math.rand() < .5 then
b = false
else
c = false
end
end
if b == false or c == false then
if math.rand() < .5 then -- test if coin was flipped
if math.rand() < .5 then
a = true
else
a = false
else
a = true
end
end


So with similar code, I just replaced b = nil with b = false to indicate b is to be executed. Ran this in a loop in Lua a couple thousand times and it looks like A lives about one third of the time.

The answer is 1/3 (for prisoner A)
And 2/3 for Prisoner C

Poor B :(

(In the end Prisoner A got Pardoned despite his 1/3 chance GG)
 

eolson3

Mortal
That makes no sense. If 2 are getting executed, knowing that B or C would get executed changes nothing. He had the same chance from the beginning. The only thing that can change the result is if he gets pardoned. Did the warden threw the coin? Also C is a moron. I don't like him he probably smells too.
Try flipping it. Before he/she poses the question, he is one of two prisoners to be killed. So his "chances" of being executed are 2/3. In his mind, the warden has indicated that one of the other prisoners is to executed. That leaves two prisoners and one of them goes to chair. Now his chances are 1/2.

As you point out, not knowing if a coin flip ever occured makes the initial proposal stupid. I'm no math wiz, but I think this means that there are two probabilities at work here. If we assume the warden follows the rules, then he/she could be saying B and meaning C, or saying B as a result of the coin flip (indicating that A will be executed). This means that he could, in fact, be the victim of either execution. C is correct that Prisoner A still has a 1/3 chance of surviving.

However, A appears to have forgotten his own rules. When the warden says that B will be executed, this actually indicates that either A or C will be executed. This means that C also could be the victim of either execution. His chances of surviving are also 1/3.

Basically, nothing at all has changed, due to Prisoner A's coin flip rule.

Or I missed some mind game.

E
 

Rodrigue

Spongerod
This one is dedicated to a person from the last thread. (YOU KNOW WHO YOU ARE)
Here's the problem.

Im going to give you guys a 3 number sequence. And I have a rule of mine. That these three numbers obey. And I want you to try and figure out what that rule is.
A way you can get information is by proposing your own set of numbers, in which I'll say,"Yes it follows my rule." Or, "No it doesn't follow my rule." Then you can propose what the rule is.
Here is the three numbers.
2,4,8
Go
EDIT: Ima give this problem its own thread
3,2,1 :DOGE
 
D

Deleted member 28105

Guest
The riddle is old. To answer your question, however, not smart at all.
 

Youphemism

Gunslinger since pre patch (sh/out to The Farmer)
This one is dedicated to a person from the last thread. (YOU KNOW WHO YOU ARE)
Here's the problem.

Im going to give you guys a 3 number sequence. And I have a rule of mine. That these three numbers obey. And I want you to try and figure out what that rule is.
A way you can get information is by proposing your own set of numbers, in which I'll say,"Yes it follows my rule." Or, "No it doesn't follow my rule." Then you can propose what the rule is.
Here is the three numbers.
2,4,8
Go
EDIT: Ima give this problem its own thread
Your rule is that the numbers go up.

SAW IT IN A YOUTUBE VID AND IDGAF ABOUT SPOILERS