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Subject: "Probability question"     Previous Topic | Next Topic
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stlag37
Member since Aug-13-04
Aug-13-04, 08:06 PM (EST)
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"Probability question"
 
   On a manufacturing line moving uni-directionally at 60rpm (about 825 continers filled per minute) a bolt/nut has been observed in the bottom of a container.

The container neck (opening) is a 29mm diameter. The distance from the bottom of the machinery to the top of the bottle is 30cm. The bolt is 21mm long and is threaded through a nut 8mm in diameter. There are a total of 91 filling locations in one machine cycle.

What is the probability the bolt fell from the machine into the container? Can we hazard a guess as to if it was manually inserted into the container, versus accidentally falling into it?

If the bolt/nut breaks the diametrical plane of the opening and falls into the container, it will not be able to bounce out of the bottle.


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