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charliepatrick
charliepatrick
Joined: Jun 17, 2011
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November 8th, 2019 at 3:55:54 PM permalink
Quote: beachbumbabs

...Maybe you have to do one more 4, and the chip is forced backwards or you find it.

I'm not so sure as I think however many consecutive (>1) 4's you start with the only thing you know is while you were making your guess the chip was somewhere in 1, 2 or 3. In your scenario as soon as you change your guess from 4 to 3 it doesn't cater for the chip which will have been in 3 and be moved to 4.
Gialmere
Gialmere
Joined: Nov 26, 2018
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November 8th, 2019 at 5:29:45 PM permalink
Wow! Reading these responses makes me feel like a Gumby...



BBB is correct about the number of picks (6) but incorrect on the logic.
CP is incorrect about the number of picks but has almost flawless logic.

I was going to call it a split-decision (and probably still will) but will let it ride 'till tomorrow in case anyone wants to try the full solve.
Have you tried 22 tonight? I said 22.
unJon
unJon
Joined: Jul 1, 2018
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November 8th, 2019 at 6:50:45 PM permalink
This is a great puzzle. Did it on my fingers on train so may have missed a trick but think this works:

Box 4, Box 4, Box 2, Box 2, Box 3, Box 3, Box 4, Box 4


ETA: ugh see that thereís a method to do it in less picks.
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
Gialmere
Gialmere
Joined: Nov 26, 2018
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November 8th, 2019 at 6:56:08 PM permalink
One trick is to reduce the number of boxes to three and solve for both odd and even.
Have you tried 22 tonight? I said 22.
unJon
unJon
Joined: Jul 1, 2018
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November 8th, 2019 at 8:38:19 PM permalink
Got it:

box 4, box 4. If you didnít get it, it must now be in 1, 2 or 3. You can eliminate 1 and 2 by going Box 2, Box 2 (which will win if it was Box 1 or 2 at start of round 3). That means it must have been in Box 3 and went to Box 4. So it is now either in Box 3 or 5. Move Box 3. If itís a miss, it was in Box 5 so now moved to Box 4. So an always win in 6 moves is:

Box 4
Box 4
Box 2
Box 2
Box 3
Box 4
Last edited by: unJon on Nov 8, 2019
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
Gialmere
Gialmere
Joined: Nov 26, 2018
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November 8th, 2019 at 9:29:39 PM permalink
Quote: unJon

Got it:

box 4, box 4. If you didnít get it, it must now be in 1, 2 or 3. You can eliminate 1 and 2 by going Box 2, Box 2 (which will win if it was Box 1 or 2 at start of round 3). That means it must have been in Box 3 and went to Box 4. So it is now either in Box 3 or 5. Move Box 3. If itís a miss, it was in Box 5 so now moved to Box 4. So an always win in 6 moves is:

Box 4
Box 4
Box 2
Box 2
Box 3
Box 4


The rakish dealer running the game smiles and shrugs as your final pick is an empty box. Suppose the chip starts in...

x Box 2 ... You pick Box 4
>Box 3 ... You pick Box 4
>Box 4 ... You pick Box 2
<Box 3 ... You pick Box 2
<Box 2 ... You pick Box 3
<Box 1 ... You pick Box 4 (D'oh!)

Hint: Note that the chip must always alternate between odd and even numbers every turn.
Have you tried 22 tonight? I said 22.
charliepatrick
charliepatrick
Joined: Jun 17, 2011
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Thanks for this post from:
unJonMrCasinoGamesGialmere
November 9th, 2019 at 2:17:20 AM permalink

Phase one chase down the chips that started in an even position.
Round 1 - pick 4 - this gets rid of a chip starting in position 4.
Round 2 - pick 3 - this gets rid of a chip starting in position 2 that then moved to 3.
Round 3 - pick 2 - this gets rid of a chip starting in position 2 that moved to 1 and is now forced to move to 2.

At this stage only the chips that started in 1, 3 of 5 have survided. In round 4 they must be moved to positions 2 or 4. So you can use the same logic to chase them down.

In theory you could repeat the logic for Rounds 1 thru 3 but the mirror logic of 2 3 4 also works.

B O X
B O X
B O X
B O X
B O X
Comments
Time
1
2
3
4
5
Boxes one to five
12:00
PICK
12:15
1
2
3
5
Possiblities remaining after picking
12:30
Chip is moved to adjacent box
12:45
1
2
3
4
Possible positions after one space movement
13:00
PICK
13:15
1
2
4
Possiblities remaining after picking
13:30
Chip is moved to adjacent box
13:45
1
2
3
5
Possible positions after one space movement
14:00
PICK
14:15
1
3
5
Possiblities remaining after picking
14:30
Chip is moved to adjacent box
14:45
2
4
Possible positions after one space movement
15:00
PICK
15:15
4
Possiblities remaining after picking
15:30
Chip is moved to adjacent box
15:45
3
5
Possible positions after one space movement
16:00
PICK
16:15
5
Possiblities remaining after picking
16:30
Chip is moved to adjacent box
16:45
4
Possible positions after one space movement
17:00
PICK
17:15
Possiblities remaining

beachbumbabs
Administrator
beachbumbabs
Joined: May 21, 2013
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Thanks for this post from:
charliepatrickMrCasinoGames
November 9th, 2019 at 7:43:21 AM permalink
I think you have it, Charlie! Good job.
If the House lost every hand, they wouldn't deal the game.
unJon
unJon
Joined: Jul 1, 2018
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November 9th, 2019 at 8:16:28 AM permalink
Quote: beachbumbabs

I think you have it, Charlie! Good job.

Agree
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
Gialmere
Gialmere
Joined: Nov 26, 2018
  • Threads: 32
  • Posts: 826
Thanks for this post from:
MrCasinoGames
November 9th, 2019 at 5:32:33 PM permalink
Quote: charliepatrick


Phase one chase down the chips that started in an even position.
Round 1 - pick 4 - this gets rid of a chip starting in position 4.
Round 2 - pick 3 - this gets rid of a chip starting in position 2 that then moved to 3.
Round 3 - pick 2 - this gets rid of a chip starting in position 2 that moved to 1 and is now forced to move to 2.

At this stage only the chips that started in 1, 3 of 5 have survided. In round 4 they must be moved to positions 2 or 4. So you can use the same logic to chase them down.

In theory you could repeat the logic for Rounds 1 thru 3 but the mirror logic of 2 3 4 also works.

B O X
B O X
B O X
B O X
B O X
Comments
Time
1
2
3
4
5
Boxes one to five
12:00
PICK
12:15
1
2
3
5
Possiblities remaining after picking
12:30
Chip is moved to adjacent box
12:45
1
2
3
4
Possible positions after one space movement
13:00
PICK
13:15
1
2
4
Possiblities remaining after picking
13:30
Chip is moved to adjacent box
13:45
1
2
3
5
Possible positions after one space movement
14:00
PICK
14:15
1
3
5
Possiblities remaining after picking
14:30
Chip is moved to adjacent box
14:45
2
4
Possible positions after one space movement
15:00
PICK
15:15
4
Possiblities remaining after picking
15:30
Chip is moved to adjacent box
15:45
3
5
Possible positions after one space movement
16:00
PICK
16:15
5
Possiblities remaining after picking
16:30
Chip is moved to adjacent box
16:45
4
Possible positions after one space movement
17:00
PICK
17:15
Possiblities remaining


Ding! Ding!

Winner! Winner! Chicken Dinner!!

Correct. The Patterns 2, 3, 4, 4, 3, 2 -or- 4, 3, 2, 2, 3, 4 solve every time.

[Note that if there were seven boxes, then use 2, 3, 4, 5, 6, 6, 5, 4, 3, 2 etc.]

CP shoots ... AND SCORES!! with an assist from BBB. Unfortunately...


-------------------------------------



Box Boggled
D'oh! Just your luck. You knew how to win the $5k but drew keno ball #1 and your lone pick missed. Your host says you still have a chance at a consolation prize. Your led to another table with three numbered boxes on it. (Oh great, you think, more boxes. But at least there's only three.) You're told that one of the boxes contains a $500 dollar casino chip and you get one pick to find it. Each box has a statement written on it and you're told that only one statement is true...

Box #1: THE $500 DOLLAR CHIP IS IN THIS BOX.
Box #2: THE $500 DOLLAR CHIP IS NOT IN THIS BOX.
Box #3: THE $500 DOLLAR CHIP IS NOT IN BOX #1.

Which box do you choose?

Last edited by: Gialmere on Nov 9, 2019
Have you tried 22 tonight? I said 22.

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