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Pickett

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Everything posted by Pickett

  1. Haha, that's kind of fun to wrap your head around...
  2. @Cygnet I think something is wrong with your solution, as one of the requirements is that "18 of us did not drink water." by your answer, you have 8 that drank nothing, 7 that drank only wine, and 11 that drank beer and wine...which totals 26 people that did not drink water.
  3. I'm guessing it's because I missed this piece of the assumption: "who drank beer and water but not wine were as many as possible". I'll give it another go with the non-drinkers included and that piece and see what I come up with.
  4. Nevermind...misunderstood the OP (again).
  5. I assumed my answer was along the right lines, but I was too lazy to actually find the true minimum with it...thanks for doing the dirty work!
  6. My brain isn't exactly firing on all cylinders today, but...
  7. I've not heard this one...but I'll take a stab:
  8. I guess I took this question to be something different. Rather than just "what's the smallest positive value you can think of?" for which I would go with something like: 1-(3↑↑↑↑...↑↑3) or in other words: 1 over Graham's number (or simply "G")...but why stop there? why not go with 1/G↑↑↑↑↑↑↑...↑↑↑↑↑↑↑↑G That interpretation of the OP isn't as interesting or fun because it just gets ridiculous... The way I took the original question was pick the smallest positive INTEGER that no one else picks...what is your strategy when up against 9 others doing the same (all allowed to pick however many tokens as they want)? So, if that's the case, it becomes a much more challenging problem. Obviously it doesn't make sense to purchase more than 9 tokens, as with 10 the BEST you could hope for is breaking even...I would probably purchase the following numbers (and my rationale next to them): 1 - I'm assuming I will lose this $10, but maybe everyone else will think someone else picks this and therefore no one else does! 2 - Might as well try this one as well, but again, most likely will lose this $10 as well... 7...ish - Some relatively low number that hopefully no one else picks...I would assume I'd lose this. 10 - Let's assume everyone buys their 9 tokens and picks 1-9...10 would be the first number that no one would pick... 16...ish - Again, some pretty low number, that's pretty much just a shot in the dark and you hope no one else picks it. 42 - If by some crazy chance everyone buys 9 tokens and all are duplicated, this is the lowest possible number that wouldn't be duplicated...plus isn't it really the answer to everything? At this point, I've already bet $60 in hopes of winning $100...and really, the odds are still not in my favor...so to me, it's not worth the risk and so my ultimate strategy would be to not play and "break even" :c)
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