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The decisive straw (Posted on 2014-07-25) Difficulty: 3 of 5
One by one straws are placed on a mathematical camelís back.
The straws have random weight, being drawn independently from the uniform distribution 0 to 1.
The camelís back breaks when the total weight of the straws exceeds 1.

Whatís the expected weight of the straw that breaks the camelís back?

Source: abridged from "Mind your decisions" blog.

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts computer exploration--heuristic approximation | Comment 1 of 6
 For trial = 1 To 10000
   tot = 0
   Do
     straw = Rnd(1)
     tot = tot + straw
   Loop Until tot > 1
   overtot = overtot + straw
   If trial Mod 100 = 0 Then
     Text1.Text = Text1.Text & overtot / trial & crlf
     DoEvents
   End If
 Next trial

finds the answer is about 0.64

  Posted by Charlie on 2014-07-25 14:06:27
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