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Pick a random number (evenly distributed) between $0$ and $1$. Continue picking random numbers as long as they keep decreasing; stop picking when you obtain a number that is greater than the previous one you picked. What is the expected number of numbers you pick?

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    One of my friend send me this question,& he sends me the ans..2012-11-24
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    ans on this link: http://www.physics.harvard.edu/academics/undergrad/probweek/sol12.pdf2012-11-24
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    Please, try to make the title of your question more informative. E.g., *Why does $a imply $a+c?* is much more useful for other users than *A question about inequality.* From [How can I ask a good question?](http://meta.math.stackexchange.com/a/589/): *Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader.*2012-11-24
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    @JulianKuelshammer thank you...next time I'll give more informative title..2012-11-24

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