# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

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Ghost Post
Icarian Member

 Posted: Mon Aug 06, 2001 1:01 am    Post subject: 1 Boogedy boogedy Maybe I'm just stoopid, but I think your solution to the Pixie and the Sprite is wrong. It doesn't factor in that lying pixies can pick ratios other than 4/10. To cut the sophostries short, check this out: This is the generic formula for the solution the way you guys did it. {385 - x^2 + x(10-x)} / (650 - 20x) According to you this gives the probability that the pixie who says "I lie X/10 times" lied when giving you directions. Anyhoo, you'll find that this number is always greater than a half (for x less than 10 anyways). That's a problem since you can't just go around convinced that pixies lie more often than not before they open their mouths. The answer I got is a 203/370 chance that the pixie lied to you. I figure this from a population of 11000 evenly distributed pixies. Anyway, if I'm wrong you can paint my sister blue. BTW, thanks for a great site! ------------------
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