I laughed out loud. 1 mistake per 3700 cases. The software industry averages 1 bug every 50 lines of code [1]. Microsoft hits ~1/2000. The space shuttle achieved ~1/20000, but that takes serious dedication and cost [2].
Doesn't matter what the "based on" is. Deciding court cases is not easier than writing a line of code. That estimate is off by at least two orders of magnitude. Which is funny until the fact that it was a supreme court justice who repeated it sinks in.
(The article itself gives a false positive rate of 4.1%, which is much more reasonable.)
1: http://amartester.blogspot.com/2007/04/bugs-per-lines-of-cod... 2: http://www.fastcompany.com/28121/they-write-right-stuff