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RE: A riddle
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kitarist
Posts: 1665
Joined: Dec. 4 2012

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RE: A riddle (in reply to edguerin)
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quote:
The answer being logical can't be silly Yes, it is not silly, it is very logical and unambiguous. I shall reveal my solution below... beware of spoilers! ***SPOILER**** So, the question was if each of the three will get a beer - i.e. is this a true statement. First says "no clue" - which means that he wants a beer himself, but does not yet have a clue from the others, hence no clue if each/beer is a true statement. The reason we know HE wants a beer is that, if he didn't, he would already know that each/beer cannot possibly be true regardless of what the others say, so he would not have answered 'no clue' - he would have said 'No." Second then answers 'not sure'. Again this means he wants a beer himself - if he didn't, he would know the each/beer statement cannot possibly be true regardless of how Three answers. Also, he answers 'not sure' instead of like the First because he DOES have a clue - the answer from the First. Third one then says 'Sure!" - clearly he wants a beer, and, based on the above, knows that each/beer is indeed a true statement. So the bartender pours a beer for each.
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Konstantin
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Date Nov. 1 2022 18:45:25
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Ricardo
Posts: 14222
Joined: Dec. 14 2004
From: Washington DC

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RE: A riddle [answer to the water/wi... (in reply to kitarist)
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quote:
ORIGINAL: kitarist quote:
ORIGINAL: Ricardo quote:
transferred the same volume of liquid back and forth, Exactly why you must replace the word ‘Water” which implies H2O and is an ingredient in wine, with the word “liquid” which is not so specific since both water AND wine are LIQUIDS. I don't get what the problem is with the original wording - both water and wine are conventionally liquids and the riddle revolves around transferring the same volume of stuff which is both times in liquid form - wine (at first) and water/wine mix (subsequently) - back and forth between buckets. I also don't see 1) how your thought experiment clarifies things in this case, and (2) what it (the thought experiment) has to do with you saying I should have replaced the word "water" with "liquid" in the original wording of the riddle. Anyway, I thought it was a very clever riddle as it looks complicated and calculation-heavy, yet has a simple solution. It is a good one. Sorry i was running out the door yesterday. The thought experiment minuses the water from the wine contents already present to show the exchange is equal. The wording, without knowing the starting volumes (in fact let them be quite different) of each bucket is fine in that case. Red and white wine would be a good one too as some would be tricked to think the more pure mixture that starts leaves more behind than is replaced. But with WATER and wine liquid specifically, the statement should read “have we added more of X to bucket 1 or have we added more of Y to bucket 2”. But instead it states vaguely, “is there more water in the Wine bucket or…” without the starting volume comparison, it could very well be the case there is more water in the wine bucket depending on starting volumes, and this situation maintains regardless how much mixing you do. Still calling it a wine bucket until a point such that if you repeat the exchange, the resulting mixing “liquid” in both buckets is equally dilute with more being in the which ever bucket had more to begin with. Meanwhile the “water bucket” is never in any danger of having more “wine” in it, ever, than the other bucket. Perhaps the quantifier “both equally filled buckets” or “same sized buckets filled half way” or something eliminates the issue. Also just realized the other problem was at the moment you poured the wine into the water bucket, it is no longer a “water bucket”…they become two wine buckets. But I guess you already addressed that with bucket 1 and 2 solution.
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REPORT THIS POST AS INAPPROPRIATE |
Date Nov. 3 2022 11:40:57
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