This makes perfect sense - logical or not, human nature would lead society as a whole to mistrust a lottery commission where this happened. The only reasonable

This makes perfect sense - logical or not, human nature would lead society as a whole to mistrust a lottery commission where this happened. The only reasonable option here is to investigate the incident and hope to sway enough people back to trusting the lottery again. Public faith is far more valuable than any cost that could be incurred by an otherwise useless investigation into math.