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The black swan

There was a fun suggestion in a separate thread to amalgamate a set of questions with P < 1% into a "what is the probability of any of these happening" question.

So I thought it would be fun to open this thread for proposals of what those things would be. We could then pick some subsets (perhaps by subject, or some other common factor) to put together one or more such questions.

Plus it's just plain fun to think of weird stuff that could happen with (say) 0.0001 < P < 0.01.