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PokerStrategist Mastermind Challenge - Q3

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Head Admin
AlpinaBG
Joined: 20.02.2011

PokerStrategist Mastermind Challenge - Question 3

You have been invited to a gambling house with 3 poker players.
You have to choose 2 to share the house with, so you interview them separately.
One of them only plays Spin&Gos.
The other one only plays Sit&Gos.
The third one plays Cash and either Spins or Sits (only one of those 2 variants) but we do not know which one it is.
In this house, the players who play Sits always say the truth and the ones who play Spins, never do.
You do not feel like sharing the house with the cash player and the only think you know is that each of them said:

Player A: Player C plays cash
Player B: I do not play cash
Player C: At least 2 of us play Spin&Gos

Who is the cash player and why?

Note: If the answer is right but the explanation is not complete, it will not be considered valid.

Post your answers below


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13 replies
matAE
Joined: 28.05.2007

player A: he plays Spins
player B: he plays cash and Spins
player C: plays SnG

I assumped that player A plays Spins. If that is true it means that player C doesn't play cash. Then we have to check if player C plays Spins or SnG. If player C plays Spins, then his statemnet has to be false. It would mean that in there group there is only one player of Spins and it that case it would be false, becaouse I assumped that player A and C are spins players. In that case player C has to be SnG player and he tells the true. It means that player B has to play Spins at least. Then player B said thah he doesn't play cash, but we already know thah he lies, it means that he is moreover player of cash.

I hope is clearly explenation.


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TJtheTJ
Joined: 12.10.2011

If A were to play Spins, he'd be a liar. That means C is the Sits player and therefore tells the truth. Thus B has to play Cash + Spins which means he's a liar. Since his statement is that he doesn't play cash, this definitely works.

B cannot be the Spins player because he would then be telling the truth, which is impossible for a Spins player. So a scenario where B is the Spins player and any further consequences from that is void.

If C is the Spins player, he's a liar. Therefore there's no other Spins player meaning the cash player plays Sits, which in turn means both A and B tell the truth. Since player C in this scenario plays Spins (and A says that C plays cash), that's also not possible.

Therefore, the only scenario that can actually happen, is one where player A plays Spins. In that scenario, player B plays cash.

As such Player B is the cash game player


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HennieP
Joined: 15.05.2008

If Player B is telling the truth then he cannot be the cash player. If Player A is telling the truth when Player B is telling the truth then this leaves Player C as the only liar which would make him the Spins player and therefore not the Cash player. This would mean nobody plays Cash!

So If Player B is telling the truth that means Player A must be lying. Player C says at least 2 players play Spins which would mean that there are 2 liars (A & C IF B was telling the truth) which would make his statement true. Since Spins players can't tell the truth both Player A and Player C would have to be liars to make Player C's statement true which which is impossible IF Player B is telling the truth because C would HAVE to lie. If Player C is lying and Player A is lying then we Have 2 Spins players and 1 Cash player but no SnG player.

Therefore Player B must be the Cash player and he is lying about it. Since Player B is lying and he is indeed the Cash player we know that Player A is lying as well and therefore Player C is telling the truth. Thus Player A must be a Spins player as well and the only other player left always tells the truth. This leaves Player C as the only truthful player which means he plays SnG's and is telling the truth about the number of Spins players.

Therefore:

Player A plays Spins
Player B plays Cash and Spins
Player C plays SnG's


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Tim128
Joined: 29.01.2017

Well I could post the answer but I feel like it would be explaining literally the same thing as above...


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Lazza61
Joined: 23.03.2011

Originally posted by Tim128
Well I could post the answer but I feel like it would be explaining literally the same thing as above...

That's why the first responders get the big points. You should still grab that 1 point as you never know if that will make the difference in the end.

Cheers :f_drink:

Laz


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luckinsearch
Joined: 07.12.2016

Player B is the cash game player.

Player C tells the truth that at least 2 spin n go player among 3 of them.
The first spin n go player is Player A who lies that player C plays cash.
The second spin n go player is player b himself who plays cash game and also spin n goes.


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Head Admin
AlpinaBG
Joined: 20.02.2011

Hi guys!
Next question will be posted tomorrow, around 10:00 CMS :f_drink:


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RentzEst
Joined: 05.09.2015

Player A plays Spins
Player B plays Cash and Spins
Player C plays SnG's


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Tim128
Joined: 29.01.2017

Originally posted by Lazza61

Originally posted by Tim128
Well I could post the answer but I feel like it would be explaining literally the same thing as above...

That's why the first responders get the big points. You should still grab that 1 point as you never know if that will make the difference in the end.

Cheers :f_drink:

Laz

Well I think I have to go for full point in case it was a trick question and noone answered correctly yet:

I think that AlpinaBG is a spin player and therefore the entire story is made up, the house was empty all along.


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HennieP
Joined: 15.05.2008

No points? OMG, we all got it wrong! :f_o:


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Head Admin
AlpinaBG
Joined: 20.02.2011

Hi guys!

The shortly answer is: "B plays cash"

There are few ways to find that out, and I see you pretty much cover them. But as we need to post the detailed answer - here is it:

Let's prove A is lying.
If it were true that C plays cash, since there's only 1 cash player, B would also be telling the truth. In that case, both of them (A and B) would play sits (one sits and cash) and none Spins.
In that case, the statement C would be false, because there would not be 2 Spin players.
C in that case, would have to play Spin&Go and cash, but if C were the cash player, A and B could not be and since both of them would be telling the truth, they would both play sits, which is not possible because there's only 1 sits player.
So that combination is not valid and A is not telling the truth.

Now, since A is lying, now we know C does not play cash.
C only plays Sits or Spins.
if C played Spins it would not be true that there're 2 Spins players and as such, A and B would play Sits, but then A would have to tell the truth and we know that A lies.
So C doesn't play Spins.
C doesn't play cash, and neither does he play Spins, so he plays Sits and his statement has to be true.

So, A and B play Spins but, who plays cash as well?
B says he does not play cash and given that B does not tell the truth:
A plays Spins
B plays Spins and cash
C plays Sits


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Head Admin
AlpinaBG
Joined: 20.02.2011

Points for Question 3:
matAE - 5
TJtheTJ - 3
luckinsearch - 1
HennieP - 1

Leaderboard after Q3
TJtheTJ - 9
matAE - 7
daveyk2000 - 5
prisly87 - 4
toranagas - 3
luckinsearch - 3
HennieP - 3
Aumuo - 2
Tim128 - 1
150515 - 1
Deeveedee - 1
FloofyMcs - 1
fpprox - 1
giliando - 1
Honigdachs - 1
justkyle88 - 1
Kyyberi - 1
lila28 - 1
metalmonkey80 - 1
RagingAlcoholic - 1
SDK1987 - 1
sherriffatman - 1
Thuyan86 - 1
zyvy - 1
DorinaRaiseGirl - 1
outrun123 - 1
pokerplayernumber1 - 1
RentzEst - 1
schmetterbrett777 - 1
SeagalSteven - 1
YohanN7 - 1


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Head Admin
AlpinaBG
Joined: 20.02.2011

Originally posted by Tim128
I think that AlpinaBG is a spin player and therefore the entire story is made up, the house was empty all along.

:nh: xD


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