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I can't seem to solve this problem. Any help is appreciated!

A person randomly put a mark on a specially designed stick of length L. The stick is designed to be broken into two pieces randomly after 10 years of usage.

(a) What is the chance that the shorter broken piece contains the mark?

(b) What is the expected length of the broken piece that contains the mark?

(c) Given that the shorter piece contains the mark, what is the expected length of that piece?

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    user: Did you write down a solution for (c)? What is the answer you found?2012-10-30
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    I don't have a solution for C yet. although it seems it will be a combination of questions (a) and (b).2012-10-31
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    This is surprising, given that you accepted an answer.2012-10-31

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