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 |
|