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Wedding Predictions: Newsletter Challenge (09/04/07)

Posted September 02, 2007 5:01 PM
Pathfinder Tags: challenge questions

The question as it appears in the 09/04 edition of Specs & Techs from GlobalSpec:

George, John, Arthur, and David are married to (not necessarily respectively) Christine, Eve, Prudence, and Rose. They remember that during a party some years ago, various predictions had been made. George had said John would not marry Christine. John had said Arthur would marry Prudence. Arthur had predicted that whoever David married, it would not be Eve. David, who at that time was more interested in football than matrimony, had predicted Arsenal would win the F.A. Cup the next year. The only one to predict correctly was the man who later married Prudence. Who married whom? And did Arsenal win the F.A Cup the next year?

And the Answer is...

Since the only one to predict correctly was the man who married Prudence, therefore John did not predict correctly (that Arthur would marry Prudence). Therefore Arthur did not marry Prudence, and John did not marry Prudence.

Arthur did not predict correctly, David married Eve.

By elimination Prudence married George, George and only George predicted correctly.

John did not marry Christine. By elimination Arthur married Christine, and John married Rose.

Result: George married Prudence; John married Rose; Arthur married Christine; David married Eve; Arsenal did not win the F.A. Cup.

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#1

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 3:15 AM

There are 4 predictions (m = marry, x = not marry)

P1 J x C

P2 A m P

P3 D x E

P4 Arsenal wins

----

If P1 is true then P2, P3 & P4 must be false

Outcome 1

P1 J x C

P2 A x P

P3 D m E

P4 Arsenal lose

----

If P2 is true, then P1, P3 and P4 must be false

Outcome 2

P1 J m C

P2 A m P

P3 D m E

P4 Arsenal lose

----

If P3 is true, then P1, P2 and P4 must be false

Outcome 3

P1 J m C

P2 A x P

P3 D x E

P4 Arsenal lose

----

If P4 is true, then P1, P2 and P3 must be false

Outcome 4

P1 J m C

P2 A x P

P3 D m E

P4 Arsenal wins

----

Only Outcome 2 is determinate, so

John married Christine

Arthur married Prudence

David married Eve

George married Rose

and

Arsenal lost

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Anonymous Poster
#4
In reply to #1

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 7:34 AM

Haven't you missed that the correct predictor marries Prudence? (Then this question becomes properly formulated - about lack of contradiction, rather than the only unambiguous result)

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#19
In reply to #1

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 12:42 PM

so close Arthur was right so David married Rose

Leaving Eve to marry george

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#30
In reply to #1

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 8:08 AM

Yes, they are right. Outcome 2, 3 and 4 are impossible by logic. That leaves:

George to Prudence

David to Eve

John to Rose

Arthur to Cristine

Arsonal Lost

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#2

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 5:07 AM

If G=P, then J≠C must be true, and D≠E must be false (A=P is impossible), so A=C, leaving J=R,
so the pairs are:

George + Prudence
David + Eve
Arthur + Christine
John + Rose
Arsenal failed to win the FA Cup the year after the party.

The other options are invalid for the following reasons:

If David marries Prudence and Arsenal wins, then Arthur's prediction that David doesn't marry Eve is also true and the challenge not met.

If Arthur marries Prudence, then John's prediction is true, and you can't have the person who didn't marry Prudence getting anything right, so this is not valid.

If John marries Prudence, his statement that Arthur marries Pru can't be true, so the solution isn't valid.

And the official answer isn't true either, because John didn't ask me and so we didn't get married!!

Nice straightforward challenge questions. Now, if Arsenal win the FA Cup next year, which of the couples will become grandparents, and how many of the children will be named after members of the winning team?

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#5
In reply to #2

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 7:52 AM

For some reason I'd assumed Rose was a pseudonym...

You seem to have closed that one nicely. But I see you've left plenty of logical holes in your supplementary comments; that could keep some discussion running...

Regarding grandchildren, I don't deal in improbable hypotheticals, so I'll that one a miss.

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#6
In reply to #5

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 8:02 AM

For some reason I'd assumed Rose was a pseudonym...

It is.

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#34
In reply to #6

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 9:10 AM

Or is it? (gotta maintain some mystery!)

And what has this Q got to do with welding...or have I missread something?

(Have you had a butchers at my artwork in the Y files blog ? )

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#50
In reply to #34

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/13/2007 6:39 AM

Yes, on 09/08/2007 1:39 PM and left a few calling cards!

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#28
In reply to #2

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 3:20 AM

Got to see this challenge just a half-hour back . Inspiring to see so many responses ---- both entertaining and logically educative.

I did get to the answer (same as English Rose ) -- only I started with the Prudence-married-to-the-predictable-guy-others-being-unpredictables -- and since John and Arthur didn't deserve Prudence and because of that, David got stuck with Eve, George it was with the prudent choice of his predictions.

Fixing Christine and Rose to Arthur and John respectively followed naturally.

My personal dislike of Arsenal as the name of a football team did not prejudice me in any way !!!

Just one point, though --- the date tag on the challenge question is 04 Sep 07. So how come English Rose and some others have a 03 Sep 07 date tag in their replies ??

Or is that another challenge question ??!!

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#36
In reply to #28

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 12:29 PM

Just one point, though --- the date tag on the challenge question is 04 Sep 07. So how come English Rose and some others have a 03 Sep 07 date tag in their replies ??

Or is that another challenge question ??!!

Uh, did you read above the challenge question? You will see it was posted on Sunday, 02 SEP 07. The 04 SEP 07 date is the date of the Specs & Techs newsletter that included the question. I learned about these Challenge Questions and CR4 through the newsletter.

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#38
In reply to #36

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 12:49 PM

UK is 5 hours ahead of US. So we can see it before it's posted ...

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#3

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 6:36 AM

As can be seen from this, we can narrow down the date of the party to the following years:

1871 - 1928 (except 1914 - 1918), but it is then unlikely that all eight protagonists would be alive and be cognisant enough for the discussion.
1930 - 1934, still a bit unlikely
1936 - 1948 (excluding 1939 - 1945), possible
1950 - 1969, getting very likely
1970 - 1977
1979 - 1991
1993 - 1996
1998 - 2000
2003, 2005 and 2006, although you're beginning to stretch the phrase "some years ago" at this point.

So the most likely period for the party is between 1950 and 2000, excluding 1969, 1978, 1992 and 1997.

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#7

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 6:54 PM

George's prediction = John AND Christine.

John's prediction = Arthur AND Prudence.

Arthur's prediction = David AND NOT Eve.

David's prediction = Yes OR No

Find X = X AND Prudence.

As John and Arthur are different persons, John predicted incorrectly. Therefore John did not marry Prudence. And if John predicted incorrectly then Arthur also did not marry Prudence. And if Arthur did not marry Prudence then his prediction that David did not marry Eve is incorrect, and David did marry Eve. If David predicted correctly then either David OR George Married Prudence, but as David married Eve, George therefore married Prudence. If George predicted correctly then John married Christine. And David must have predicted incorrectly.

=================================================

Therefore:

George married Prudence.

John married Christine.

David married Eve.

Arthur married Rose.

And Arsenal did not win the FA cup the next year.

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#8
In reply to #7

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 7:37 PM

I know, where did you get; Find X = X AND Prudence. I'm working on it.

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#9
In reply to #8

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/03/2007 8:24 PM

Only one person is stated as predicting correctly, therefore if John's prediction is correct then so is Arthur's, and this is contrary to the statement;

"The only one to predict correctly was the man who later married Prudence."

So, X = X AND Prudence, is meant to mean that the person predicting who will marry Prudence and the person who actually married her cannot be different people, as you will have two people making correct statements instead of one.

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#14
In reply to #9

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 6:44 AM

George's prediction = John AND NOT Christine.

Therefore:

George married Prudence.

David married Eve.

John married Rose.

Arthur married Christine.

And Arsenal did not win the FA cup the next year.

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#49
In reply to #7

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/10/2007 5:20 PM

Barring polygamy...

But I came up w/ G+P, D+E, J+R, A+C, A lost as well...

Jim

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#10

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 1:42 AM

huh! that's tough!

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#11

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 3:52 AM

A->C

J->R

G->P

D->E

and who cares if some silly soccer team lost! ( which they did, HA HA!!!!)

this one was good, god me hooked.

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#12

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 5:29 AM

If John was right he should marry Prudence, but he predicted something else. So John is wrong: neither John nor Arthur has married Prudence. This is true in all cases.

If Arthur was right then he should marry Prudence, what is impossible because John was wrong as stated above. So David married Eve.

If David was right then he should marry Prudence but that would mean that Arthur was right, what is untrue as shown above. Arsenal lost.

George was right. Then: George married Prudence, David married Eve, John married Rose and Arthur - Christine. Arsenal lost. That is the only possible solution And that is the end.

Have a nice day.

pg2004

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#13

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 6:03 AM

1. Arthur or John are not allowed to marry Prudence as this would allow two simultaneous predictions (George's & John's) to be true, which we are told doesn't happen.

Therefore only George or David can marry Prudence.

2. If George married Cristine then Dave must have wed Prudance.

This outcome also results in two predictions being correct (Georges' and the husband of Prudance which by default would be Dave) so again must be discounted.

Thus:

George marries Prudance; John marries Rose; Arthur marries Cristine; Dave marries Eve & Arsenal lose.

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Anonymous Poster
#15

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 8:57 AM

David married Eve

John married Christine

Arthur married Prudence

George married Christine

Arsenal did not win

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#16

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 9:40 AM

This one is easy:

  • Let's suppose that John would marry Prudence. If it would happen so his statement would be true and therefore Arthur would need to marry Prudence. (Therefore this is a dead end, no to men marry the same woman).
  • If we suppose that Arthur married Prudence we would have TWO predictions that came true. The one from John and the one from Arthur (as he married Prudence). Another dead end.
  • Let's say that David married Prudence, the Arsenal would have won, but Arthur's prediction would also be true. If we take into account that only one can be true, this is brings us to another dead end.

And now, without further delay, I give you the solution:

  • George married Prudence
  • David married Eve
  • John did not Marry Christine, Prudence or Eve. Therefore, John Married Rose.
  • Arthur married Christine
  • Arsenal lost the F.A.Cup

Have a nice week!!

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#17

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 10:26 AM

If John predicted that Arthur would marry Prudence, and the only one that predicted correctly was the one that later married Prudence, John was wrong (he should have predicted to marry her himself), so Arthur didn't marry Prudence either.

If Arthur didn't marry Prudence either, he was wrong, so David, according to his prediction, married Eve.

If neither Arthur nor John nor David married Prudence, then George must have had. So George married Prudence. So George was right. And he predicted that John would't marry Christine, so John married Rose. And Arthur married Christine.

And David was wrong, so Arsenal didn't win the FA Cup the next year.

nunopintosilva@gmail.com

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#29
In reply to #17

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 4:16 AM

nunopintosilva@gmail.com

You are wrong because this is not a competion for winning the best ride, so John cannot predict to marry Prudence if he doesn't want to. It doesn't state she was the hottest.

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#18

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 10:33 AM

It's interesting to see different thought processes for the same problem. Some start with a hypothesis and work it out. Others start by using elimination. In the end, (most of us) get the same answer.

My thought pattern:

John predicted Arthur and Prudence, but to be correct he would have ahad to marry Prudence, so neither John nor Arthur married Prudence. So now Arthur had to be wrong which means David married Eve. The only guy left to marry Prudence is George and since he is correct John didn't marry Christine. So Arthur married Christine and John married Rose (it must have been one of those arranged marriage things). Since David is wrong the team lost the FA Cup (whatever that is).

D-E, G-P, A-C, J-R, Arsenal (?) lost

PS Don't try to educate me on the team or cup. I am happy my college team won last night in football (the one with pads and helmets and smashing into each other).

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#20

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 5:22 PM

It cannot be Arthur since he would marry Prudence and make John right. Therefore, if Arther is wrong, David DOES marry Eve. Since David marries Eve, he did not marry Prudence and could not have been right. The only one left is George to marry Prudence.

David - Eve

Arthur - Christine

John - Rose

George - Prudence

Arsenal did not win the F.A. Cup.

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#21

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 9:41 PM

Like several others, I came up with the following pairs:

George and Prudence

David and Eve

John and Rose

Arthur and Christine.

I reached these conclusions by charting the predictions, then listing the implication of of each one. Unfortunately, the %#[{|#@ sorry excuse for a text editor CR4 uses for comments doesn't allow tabs to line things up in columns, or I would have posted my chart.
Some of my analysis may seem redundant to what others have said, but I needed a way to keep it all straight.

If George is right, then John does not marry Christine and George marries Prudence. So far, nothing contradicts these results.

If John is right, then Arthur marries Prudence and John marries Prudence. Unless she divorced John then married Arthur, or the laws have changed to allow bigamy, this cannot happen. We assume from the wording of the problem that each couple marries once, so John cannot be right.

If Arthur is right, then David does not marry Eve and Arthur marries Prudence. We have already established that Arthur cannot marry Prudence, so David does marry Eve.

If David is right, then Arsenal wins and he marries Prudence. We have already seen that David marries Eve, so Arsenal lost.

George is the only one to make a right prediction, so he married Prudence.

David married Eve because Arthur's prediction is wrong.

John married Rose, because George correctly predicted he would not marry Christine.

That leaves Christine as Arthur's bride.

Prudence is the most fortunate of these women for marrying a man prudent enough to make correct predictions!

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#22

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 9:48 PM

Arthur married Prudence! That's the answer to the firsr part of the question.

Who or what is Arsenal and what do they/it have to do with anything, "anyway".

Toomuchfun

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Anonymous Poster
#23

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 10:56 PM

If{[DisRight]then [DmP]·[JmC]·[A¯mP]·[DmE]·[JisRight(A¯mP)]·....oops 2 right predictions...}

If{[AisRight]then[AmP]·[JmC]·[A¯mP]·....oops illogicial {[AmP]·[A¯mP]}

If{[JisRight]then[JmP]·[JmC]·....oops illogical {[JmP]·[JmC]}

If{[GisRight]then[GmP]·[J¯mC]·[A¯mP]·[DmE]·[Arsenol Loses]

So GmP · J¯mC · DmE · Arsenol Loses · {if[J¯m(C+P+E)]then[JmR]}

So GmP · DmE · JmR · Arsenol Loses · {if[A¯m(P+E+R)]then[AmC]

So GmP · DmE · JmR · AmC · Arsenol Loses

Note: word processor missing standard oops symbol...

tom
=-==

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#24

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 11:00 PM

George married Prudence. John may have married Christine. Andy may have married Rose. David may have married Eve. And Arsenal did not win the FA cup. Paxton Downard, Vancouver B.C.

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#25
In reply to #24

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/04/2007 11:03 PM

A=Arthur

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#26

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 2:17 AM

This is perfectly alright. But who is Arsenal ? Waiter /their common friend ? or is it clubs name ?

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#27

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 2:40 AM

I believe Arthur Married Prudence on the basis that it was predicted which means they were involved. George was probably married to Rose because there is no prediction regarding both of them. Since Arthur is right from my point of view, David would marry Christine and John would marry Eve. Arsenal would lose the F.A Cup

In summary

Arthur - Prudence

George - Rose

David - Christine

John - Eve

Arsenal lost the F.A Cup

From A.S.P in Uganda

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#31

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 8:14 AM

There appear to be multiple answers that work: Assuming everyone is still married to their original spouse, Arthur is married to prurdence, David is married to Eve, John is married to Christine, and George is married to Rose. Arsenal does not win. I prefer the solution where arsenal wins. John marries Christine, Arthur and George are unmarried, David maries Eve, and Rose and Prudence get married in Iowa while Arsenal wins the title.

Dave

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#32

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 8:24 AM

George(G), John(J), Arthur(A), David (D), Christine(C), Eve(E), Prudence(P), and Rose (R)

The only one to predict correctly was the man who later married Prudence implies

A did not marry P which implies

D married E This implies

Arsenal did not win This implies

The correct prediction is made by G i.e. J did not marry C This implies

G married P and since J did not marry C he married R

The last one i.e A married C

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#33

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 8:27 AM

I wounder if these folks are from the UK, being as David seems to like Soccer? I am assuming that Arsonal refers to the British team here unless there is another Arsonal team in another sport somewhere else.

If the folks in the story where in the US, they would have had to pick an US football team.

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#44
In reply to #33

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/06/2007 10:46 PM

In that case the question would read:

George, John, Arthur, and David are married to (not necessarily respectively) Christine, Eve, Prudence, and Rose. They remember that during a party some years ago, various predictions had been made. George had said John would not marry Christine. John had said Arthur would marry Prudence. Arthur had predicted that whoever David married, it would not be Eve. David, who at that time was more interested in football than matrimony, had predicted the Steelers would win the Super Bowl every year until the end of the earth. The only one to predict correctly was the man who later married Prudence. Who married whom? And will the Steelers ever win another Super Bowl.

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#45
In reply to #44

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/07/2007 7:38 AM

You definitely picked the right team!!! You must live in around Pittsburgh!

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#35

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 10:19 AM

Doesn't matter anyway....statistics will show that half of them are now divorced/separated and/or fooling around with the other half...

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#37

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 12:39 PM

George is correct, so:

Geo married Pru, therefore John didn't marry Chr - he married Rose, Art didn't marry Pru - he married Chr, Dave married Eve, and Arsenal lost.

G=P J=R A=C D=E Arsenal lost.

HalMcK

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#39

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 2:17 PM

I personnaly believe you are all wrong except for one guest with a somewhat sketchy answer ( A - P) :

G - C

A - P

J - E

D - R

And the team wins !!!

Of all combinations, only "Arthur is right" does allow for Arthur to marry Prudence. From my point of view, the other combinations won't allow the "one" who is right the possibility of marrying Prudence.

PL

I won't feel the slightest discomfort in admitting that I might have missed something, even though it is sometime nice to stand away from the mainstream.

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#48
In reply to #39

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/10/2007 11:31 AM

Arthur can not have married Prudence.

Whoever married Prudence was the only one with the correct prediction.

John predicted that Arthur married Prudence.

So if Arthur married Prudence, then John is right and by default he married Prudence also. So either she has two husbands in two towns, or she married one of the other two guys.

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#40

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/05/2007 8:41 PM

How can anyone say that Arthur married Prudence? The problem EXPLICITLY says the one who made the correct prediction also married Prudence. If Arthur married Prudence, then John would be the correct predictor and he would have married Prudence too! Neither John or Arthur could be the one who made the right prediction.

Because Arthur's prediction wasn't true, David married Eve. Becasue David married Eve and not Prudence, we know he didn't make a correct prediction either. Which leaves George as the only candidate to be the right predictor and Prudence's husband.

Now because George predicted that John would not marry Chirstine, John must have married Rose and Arthur married Christine.

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#41

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/06/2007 5:57 AM

If any of the people are Church ministers conducting a service, this question could get messy. "married" ? A woman married my wife, though I did as well. It may explain why I'm confused.

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#42
In reply to #41

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/06/2007 6:32 AM

Hey Kris!

It's been a while....good to have you back!

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#43
In reply to #42

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/06/2007 7:09 AM

Thanks Rick, I've just been re-charging the batteries and am now floundering to catch up. As you'll have read in my previous, mischief has recommenced !

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#46

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/07/2007 12:26 PM

Grr,

I wish I'd seen this challenge question earlier, it's no fun giving the correct answer after 30 other people have already got it right.

Deseng

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#47
In reply to #46

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

09/07/2007 3:23 PM

"..it's no fun giving the correct answer after 30 other people have already got it right."

It can be if you come up with new way to explain it like these guys might have!

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#51

Re: Wedding Predictions: Newsletter Challenge (09/04/07)

11/06/2007 3:50 PM

...long long ago.........CR4climax.........and lived happy..lly everafter...

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