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Quant版 - 问一道题
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1 (共1页)
t******m
发帖数: 255
1
和原来的stick problem很相似, What's the probability that 3 pieces broken
from 1 straight stick will form a obtuse triangle? 请高手指教,谢了
p*****k
发帖数: 318
2
there is a similar but easier problem discussed before:
http://www.mitbbs.com/article_t/Quant/31226861.html
for your problem, if the two breaking points are chosen
uniformly and independently, i got 9/4-3*ln(2) ~ 0.17,
which agrees with MC well.
i have not found an easy way to do it - my approach is to ignore
the triangle constraints first, and only consider the prob that
the max of the three segments > sqrt(sum of the other two squared).
then subtract 3/4 from this number, which is the prob of
1 (共1页)
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话题: stick话题: problem话题: triangle话题: what话题: obtuse