Perhaps, but it feels a bit like the Monty Hall paradox/game. If you know which ones are more truthful, then the odds aren't as bad as "everyone must be guilty until proven innocent."
"Innocent until proven guilty," the modus operandi of the US judicial system, at least in theory, is the design of a system that assumes trust and removes offenders.
"Innocent until proven guilty," the modus operandi of the US judicial system, at least in theory, is the design of a system that assumes trust and removes offenders.