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Pickwick's Umbrella
I wrote this in 2010, and it's been copied a bit - seem to find it here and there. I saw the problem originally in the chance probability document which is still available (https://chance.dartmouth.edu/teaching_aids/books_articles/probability_book/book.html),
with exercise answers -- and the answer to this problem was wrong - so I contacted the authors, and had some fun.
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