geometric probability: 3 segments move freely along segment E...

mr.Wong

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Nov 27, 2015
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Inside a segment E there are 3 segments A, B, and C which move freely along E, and all with lengths being 1/2 of E. If a point is chosen randomly on E, what is the probability that the point lies within A, B, and C at the same time?
 
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There are 2 possible answers for this problem:
(1) 1/4
(2) about 1/5
I don't know which one is correct, can the correct answer be verified by using computer?
 
There are 2 possible answers for this problem:
(1) 1/4
(2) about 1/5
By what reasoning did you arrive at these possible solution values?

Please be complete. Thank you! ;)
 
By what reasoning did you arrive at these possible solution values?

Please be complete. Thank you! ;)

I can't explain here in detail,it is too complicated, but the result is reliable.
I just hope someone will check the result by using computer.
 
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