作者TOOYA (在草地等流星)
看板Statistics
标题Re: [问题] 古典机率的问题
时间Sat Feb 10 19:13:20 2007
※ 引述《peecome (bunnyplaycat)》之铭言:
: Take a stick of unit length and break it into two pieces, choosing the break
: point at random. Now break the longer of the two pieces at a random point.
: What is the probability that the three pieces can be used to form a triangle?
: 想请问大家觉得该怎麽解?
: 我令一推随机变数越来越复杂...
: 谢谢..
x1 x1
├──┼────┼──┼────┤
0 x1 x2 x3 1
假设长度为1 第一点如果取在x1 则 第二点只能取在x2跟x3之间 常会形成三角形
算x1在左半的机率 再乘2
1/2
2*∫ 1 * x/(1-x) dx = 2log2 - 1
0
有错请告知^^
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1F:→ TOOYA:才会形成三角形 手误 02/10 19:33