If you choose two points at random on a line segment, you divide the
segment into three pieces.  ("At random" here means two independent
choices each using the uniform distribution.)  What is the probability
that it will be possible to rearrange the three pieces so that they form
the three sides of a triangle? 
        

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All midshipmen submitting correct solutions to problem #98 by 3:30 pm on
Tuesday, October 5, win a cookie. The best solution will be posted on the
problem bulletin board.
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A solution is "correct" if it gives the correct answer and explains why
that answer is correct; a solution is "best" if it includes the clearest
correct explanation.  Submit solutions to Prof. Hanna at
mathprob@usna.edu, or via the mailbox in Chauvenet 301.

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Midn. Milev and Privette are entitled to cookies for their solutions to
Problem #97. Midn. Rivera and Kelligs had 4 of the 10 solutions;
Midn-to-be Mueller gave all 10 solutions but no explanation. Mr.
Privette's solution is posted on the Chauvenet lab-deck bulletin board.