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If you have a lottery (Megamillions) and you sell 20,000,000 tickets, the probability of them all losing is given by:
(135,145,919/135,145,920)^20,000,000 = 0.862448363
A close approximation is given by:
e^-(20,000,000/135,145,920) = 0.8624413
I just learned this from a book. That's pretty cool!
(135,145,919/135,145,920)^20,000,000 = 0.862448363
A close approximation is given by:
e^-(20,000,000/135,145,920) = 0.8624413
I just learned this from a book. That's pretty cool!