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RaulonY's post in Who is good at Math?? was marked as the answer
Yeah, that's correct. The probability to win is 1 - the probability to not get a winning ticket in any of the 200 prizes. The exact probability is 1-[1-(50.000/2.000.000)]*[1-(50.000/1.999.999)]*[1-(50.000/1.999.998)]*... I've calculated it in a spreadsheet here:
https://docs.google.com/spreadsheets/d/1TjnxyHQvPrD-Mwgxe9qznQMgWAnUyAw1by8HFTN0xXc/edit?usp=sharing