Our brain is notoriously bad at assessing modern risks and here are some that is related to driving.

1. We overestimate chance of big catastrophe happening and underestimate risks in everyday events. After 9/11, many opted to drive instead of getting on a plane resulting in more accidents knowing that driving is actually far more dangerous than flying.
2. We substitute one risk with another. This risk compensation caused drivers of ABS-equipped vehicles to drive more aggressively. Same thing happens when we wear seat belts.
3. We take more risk if (we think) are in control. It feels less dangerous if we are given the choice to decide how much to risk. The reason why I always choose to drive myself.

There are many more scenarios where we misjudge the odds of danger. Check out this article if you would like to know more.