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Ayecarumba
Ayecarumba
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April 29th, 2015 at 10:42:04 AM permalink
Your cousin Eddie takes you to a "different" casino near his trailer in Nevada.

They have three table games:

Table 1: The dealer places two six sided dice in a cup, shakes them, then slams the cup down on the table hiding the results. He then peeks under the cup, and states, "At least one of the dice is a two". Please place your bets. The only wagers available are "Total 4" and "Total not 4"

Table 2: You approach the table, and see that there is a die with the number two up, next to an upside down cup. The dealer says to you, "I shook 'em. Under the cup is the other die. As you can see, at least one of the dice is a two". Please place your bets. The only wagers available are "Total 4" and Total not 4".

Table 3: You approach what appears to be a standard Craps table, and see that it is not Craps, but a game where the only wagers available are, "Total 4 (at least one die a two)" and "Total not 4 (at least one die a two)". The felt also states, "All rolls without at least one die a two 'en prison'". The dealer explains that this means that any roll without at least one die a two will be "locked up" until a roll with at least one die a two. She asks you to "Please place your bets". You make a wager. The stick then dumps a bowl with five dice and pushes them to you so that you can pick two and shoot em.

Is the probability of "Total 4" at all three tables, 1-11?
Simplicity is the ultimate sophistication - Leonardo da Vinci
GWAE
GWAE
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April 29th, 2015 at 10:45:24 AM permalink
My non math brain says no. The results of dice 1 are meaningless. All you care about is whether the other dice will be a 2 as well. I say it is 1 in 6
Expect the worst and you will never be disappointed. I AM NOT PART OF GWAE RADIO SHOW
DJTeddyBear
DJTeddyBear
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April 29th, 2015 at 11:17:14 AM permalink
Table 1: Need more info about the rules. This reeks of the same wording problem as the other thread. Did he tell you about deuces because he was obligated to tell about deuces, or for some other reason?

Table 2: 1/6, 5/6.

Table 3: 1/11, 10/11.
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Wizard
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Wizard
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April 29th, 2015 at 11:56:25 AM permalink
Pr(tot 4)=1/11


Pr(tot 4)=1/6


Pr(tot 4)=1/11
It's not whether you win or lose; it's whether or not you had a good bet.
Ayecarumba
Ayecarumba
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April 29th, 2015 at 12:39:20 PM permalink
Quote: DJTeddyBear

Table 1: Need more info about the rules. This reeks of the same wording problem as the other thread. Did he tell you about deuces because he was obligated to tell about deuces, or for some other reason?

Table 2: 1-6, 5-6.

Table 3: 1-11, 10-11.



Table 1 is supposed to be the same as the other thread. My assumption is that the peeker only makes a statement when there is at least one die with a two.
Simplicity is the ultimate sophistication - Leonardo da Vinci
Ayecarumba
Ayecarumba
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April 29th, 2015 at 12:42:24 PM permalink
Quote: Wizard

Pr(tot 4)=1/11


Pr(tot 4)=1/6


Pr(tot 4)=1/11



Regarding
The dealer did say that he "shook 'em", indicating both dice. Is the fact that he has one die already on display, and doesn't shake them both in front of you the difference maker?.
Simplicity is the ultimate sophistication - Leonardo da Vinci
Wizard
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Wizard
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April 29th, 2015 at 12:54:13 PM permalink
Quote: Ayecarumba

Regarding

The dealer did say that he "shook 'em", indicating both dice. Is the fact that he has one die already on display, and doesn't shake them both in front of you the difference maker?.



My interpretation of table 2 was that the dealer just placed one die on a 2 face up and shook the other one under a cup. Correct me if I'm wrong.
It's not whether you win or lose; it's whether or not you had a good bet.
beachbumbabs
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beachbumbabs
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April 29th, 2015 at 12:57:37 PM permalink
I got the same answers as the Wizard and others, so no spoiler tag needed. :)
If the House lost every hand, they wouldn't deal the game.
jml24
jml24
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April 29th, 2015 at 1:19:22 PM permalink
Quote: Wizard


My interpretation of table 2 was that the dealer just placed one die on a 2 face up and shook the other one under a cup. Correct me if I'm wrong.



Table one and three the answer is obvious (Wizard's answer.) Table two we don't have enough info on what happened between the shaking and what we are seeing now. The Wizard's interpretation is one. Another is that the dealer randomly reached under the cup and picked out one of the dice. Another is that the dealer did the same thing as table 1 but pulled out a die with a two on it to prove it.
Ayecarumba
Ayecarumba
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April 29th, 2015 at 1:19:39 PM permalink
Quote: Wizard

Quote: Ayecarumba

Regarding

The dealer did say that he "shook 'em", indicating both dice. Is the fact that he has one die already on display, and doesn't shake them both in front of you the difference maker?.



My interpretation of table 2 was that the dealer just placed one die on a 2 face up and shook the other one under a cup. Correct me if I'm wrong.



The dealer tells you, the player, that he "shook 'em". Which in "not the regular casino" parlance means both dice. However, a die with a two is already set when you walk up to the table, while the other die remains hidden under the cup. You are then asked to place your bet.
Simplicity is the ultimate sophistication - Leonardo da Vinci

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