In addition, there are a number of myths associated with deer-car crashes that Allstate, in partnership with a number of states across the nation, are sharing with drivers to remind them to be on watch for Whitetails. MYTH #1: Always swerve to avoid hitting a deer. Actually, police statistics show that most motorist deaths and injuries occur when drivers swerve to avoid hitting the deer and strike a fixed object, such as a tree or another vehicle. It may seem powerless, but simply applying ...