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 The time now is Sun Dec 08, 2013 10:00 am All times are UTC - 6 View posts in this forum since last visit View unanswered posts in this forum Calendar
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Macavity
Entrenched

Joined: 25 Jul 2004
Posts: 883
Location: UNSC Comm Relay Station Alpha, West Shokan, NY

The correct answer, in my opinion, is two with a spring scale and one with a balance scale.

Why?

Because if you weigh one pool ball on a spring scale and the next one you weight is lighter/heavier, you've found the rigged ball.

With a balance scale, you only have to weigh one ball against another - and again, if one ball is heavier than another, you've found the rigged ball.
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Posted: Mon Aug 08, 2005 4:39 pm
appleTRON
Veteran

Joined: 07 Jul 2005
Posts: 104
Location: Los Angeles

 Macavity wrote: The correct answer, in my opinion, is two with a spring scale and one with a balance scale. Why? Because if you weigh one pool ball on a spring scale and the next one you weight is lighter/heavier, you've found the rigged ball. With a balance scale, you only have to weigh one ball against another - and again, if one ball is heavier than another, you've found the rigged ball.

But what if you haven't picked a lightened ball to weigh in the first place? The fewest weighings you COULD do it in is theoretically one, yes ... but ONLY if you've chosen the lightened ball at random. This method proves nothing.
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Posted: Mon Aug 08, 2005 5:27 pm
Christyxo
Guest

Actually Macavity has a point here.

If you picked up two balls and one happened to be the lighter one then you would only need the one weighing (and some luck to pick up the correct ball)

Since the question says what is the minimum I'll have to agree with Macavity. The question is asking for the minimum number only - not the most likly number of weighings.

Posted: Sun Aug 21, 2005 3:39 pm
Totally New to Perplex
Guest

To take things to an absurd extreme, one could argue that the moment he picks up the scales, four kids and a dog bust into the bar, grab Tone, pull off his mask and reveal Lenny Lightfoot, the notorious pool shark and scam artist, whose signature move is to place a lightened ball on the table when his opponent's back is turned. He screams, "And I'd have gotten away with it, too, if it weren't for you meddling kids!" The number of weighings, in this case, would be zero.

Posted: Sun Aug 21, 2005 3:55 pm
Zeina
Greenhorn

Joined: 02 Sep 2005
Posts: 3
Location: Lebanon

Guys correct me if i'm wrong, but I think 2 weighings wont do it, that is if we need to prove beyond the shadow of a doubt that there's a lighter ball (but then the question is a bit ambiguous on that). Here's why I think nmarciano & JebJoya's answers are a bit flawed:

1) WEIGH ( 123 ) AGAINST ( 456 )
If equal go to step ( 2 )
If ( 123 ) lighter go to step ( 3 )
If ( 456 ) lighter go to step ( 4 )

2) WEIGH ( 7 ) AGAINST ( 8 )
If equal, BALL 9 is the LIGHT one (that's speculation, not proof)
If ( 7 ) lighter, BALL 7 is the LIGHT one
If ( 8 ) lighter, BALL 8 is the LIGHT one

3) WEIGH ( 1 ) AGAINST ( 2 )
If equal, BALL 3 is the LIGHT one (again, speculation)
If ( 1 ) lighter, BALL 1 is the LIGHT one
If ( 2 ) lighter, BALL 2 is the LIGHT one

4) WEIGH ( 4 ) AGAINST ( 5 )
If equal, BALL 6 is the LIGHT one (speculation)
If ( 4 ) lighter, BALL 4 is the LIGHT one
If ( 5 ) lighter, BALL 5 is the LIGHT one

Posted: Fri Sep 02, 2005 11:13 pm
ParityBit
Decorated

Joined: 17 Oct 2003
Posts: 168
Location: London Above

I see what you're saying Zeina, but I think that it would only be an issue if the idea of one ball lighter than the others was not confirmed.

If we know for definite that there is one ball lighter, then two weighings could find it. If you it's only a possibility that one ball is lighter, then an additional weighing would be necessary.

In this type of puzzle, I think that the idea of the lighter ball is a given, so I would go along with two weighings.

Posted: Sat Sep 03, 2005 4:58 am
Da Tee In TeeS of doom
Boot

Joined: 12 Sep 2005
Posts: 30
Location: Denmark

that easy?

If there will be a box on some website, then it will be easy just to write "1" "2" "3" and so on, 'till you've got the right answer. I think there must be some deeper thing in this (or more obvious)
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Posted: Mon Sep 12, 2005 4:47 pm
Rob_Riv
Unfettered

Joined: 17 Feb 2005
Posts: 350

Okay The answer has already been posted it's...

1) WEIGH ( 123 ) AGAINST ( 456 )
If equal go to step ( 2 )
If ( 123 ) lighter go to step ( 3 )
If ( 456 ) lighter go to step ( 4 )

2) WEIGH ( 7 ) AGAINST ( 8 )
If equal, BALL 9 is the LIGHT one
If ( 7 ) lighter, BALL 7 is the LIGHT one
If ( 8 ) lighter, BALL 8 is the LIGHT one

3) WEIGH ( 1 ) AGAINST ( 2 )
If equal, BALL 3 is the LIGHT one
If ( 1 ) lighter, BALL 1 is the LIGHT one
If ( 2 ) lighter, BALL 2 is the LIGHT one

4) WEIGH ( 4 ) AGAINST ( 5 )
If equal, BALL 6 is the LIGHT one
If ( 4 ) lighter, BALL 4 is the LIGHT one
If ( 5 ) lighter, BALL 5 is the LIGHT one

The scales are described as 'REGULATION WEIGHING SCALES' which are balance scales.

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Posted: Tue Sep 13, 2005 1:06 pm
M. Johansson
Veteran

Joined: 07 Oct 2003
Posts: 79

Um, what if you start out by weighing 8 balls, 4 in each scale, and the two sets of four turned out to be equal? That would mean that the 9th ball would be the one that is off.

Of course, that doesn't PROVE that that one is off (the 9th could still be the same weight as all the others, if the storyteller on the card is wrong about the balls), but that is not exactly what the card is asking for - it asks for which one is lighter, not IF one is lighter.

So: 1.

Posted: Tue Sep 13, 2005 3:26 pm
joshF
Greenhorn

Joined: 03 Oct 2005
Posts: 4
Location: Devon/cornwall, England

To be honest, i don't think there should be much complication here. If we are looking at working with balance scales, then the minimum amount of weigh ins would definitely be one. Because there is a chance that you will pick the tampered and normal ball, and be able to see which is lighter. And of course u cant have weigh in of less than one so this seams the answer .

Posted: Mon Oct 03, 2005 3:28 pm
Rob_Riv
Unfettered

Joined: 17 Feb 2005
Posts: 350

I still think it's 2.
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Posted: Mon Oct 03, 2005 3:37 pm
Sheepnumber12
Boot

Joined: 18 Oct 2005
Posts: 12
Location: England

It would take a minimum of 2 weighings.

1st weighing: Lightest ball
2nd weighing: Normal ball

Also, just under the scratch-off area, the darkness is lighter. Can anyone find anything in this area?
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Posted: Sun Oct 23, 2005 4:19 pm
Hunting4Treasure
Unfettered

Joined: 06 Aug 2005
Posts: 385
Location: Tampa Bay Area, FL USA

 Rob_Riv wrote: I still think it's 2.

You are correct! And your explanation was beautiful!
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Posted: Sun Oct 23, 2005 5:38 pm
JebJoya
Unfettered

Joined: 13 Apr 2005
Posts: 679
Location: UK

Hunting4Treasure wrote:
 Rob_Riv wrote: I still think it's 2.

You are correct! And your explanation was beautiful!

HIS explaination? Bah, humbug

/me directs everyone to page 1 of this thread

Jeb
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Posted: Mon Oct 24, 2005 3:03 am
Hunting4Treasure
Unfettered

Joined: 06 Aug 2005
Posts: 385
Location: Tampa Bay Area, FL USA

Sorry, Jeb!
*Your* explanation was beautiful!
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Posted: Mon Oct 24, 2005 12:57 pm
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