That system is a good one, DougR up to a point. It's what is used here in Alabama, too. The problems with this system arise with the optical scanner machines that are used to count the votes after the ballots have been submitted. They are just as prone to tampering and no more secure or accurate than the touch screen machines. Possibly less so because nobody is really scrutinizing them to any real extent.

However, the one thing about them that is vastly superior to some other voting systems is the fact that the system you described does leave a paper trail, unlike many of the other systems. So if there did happen to be a question about the results (and if anyone was really paying attention and noticed the discrepancies, and didn't sweep them under the figurative carpet), it could, conceivably, be possible to do a valid hand recount to verify the results.