On Pi Day, someone must observe that "The first 144 digits of pi add up to 666." What are the chances that a randomly generated series of consecutive digits will at some point add up to 666 (or any other large, evil number)?
Thursday, March 17, 2011
Mathematical Constant Day
On Pi Day, someone must observe that "The first 144 digits of pi add up to 666." What are the chances that a randomly generated series of consecutive digits will at some point add up to 666 (or any other large, evil number)?
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3 comments:
By "any other large, evil number" I mean that we want the value that the chances converge toward as the target number gets larger. For low target values, like 7 and 13, the chances differ because of the limited number of patterns in the first few digits.
We can discover a lower bound by envisoning a worst case scenario. As we get close to the target number, suppose our random digit generator gets stuck and produces only 9s, minimizing the chance of hitting the target. Then we will hit the target one out of nine times, over 11%.
http://vihart.com/blog/pi-is-still-wrong/
Vi makes an entertaining case, but the manifesto convinced me.
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