Final answer:
While exact numbers are unavailable, after the passing of the Help America Vote Act in 2002, numerous Texas counties continued to employ paper ballot systems due to doubts about the latest electronic systems' trustworthiness and safety.
Step-by-step explanation:
The precise information regarding how many counties in Texas were still using paper ballots when the Help America Vote Act was passed isn't readily available. However, it's known that this act was passed in 2002 to modernize the voting process in the U.S. It encouraged states to transition from older methods, such as paper ballots, to electronic voting systems. Despite the push, many counties across the U.S., including Texas, retained their paper ballot systems for quite some time due to concerns about the reliability and security of the new electronic systems.
Learn more about Help America Vote Act