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No, it's not the same order. 1/2^80 is the same order as the likelihood of as picking 1000 grains out of 1010, and I'm sure you'll agree that Sahara has more grains that 1010.

However, if you picked a single grain from Sahara desert, you'll be only 2 or 3 orders of magnitude off, so one could say that 2^-80 is only slightly easier than finding a particular grain in a Sahara desert.




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