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?
Picking random numbers as long as they keep decreasing. Expected number of numbers you pick?
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0One of my friend send me this question,& he sends me the ans.. – 2012-11-24
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0ans on this link: http://www.physics.harvard.edu/academics/undergrad/probweek/sol12.pdf – 2012-11-24
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0Please, 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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1@JulianKuelshammer thank you...next time I'll give more informative title.. – 2012-11-24