The biggest thing with auto insurance isn't covering your car, it's covering the cost of whatever you hit sueing you.
Your car may only be worth $3,000, but if you hit a pedestrian and they require a dozen surgeries and are wheelchair bound for life, you bet you're ass you're getting sued for a few million in medical costs.
In a reasonable country, those medical costs would be free, but since they're not you need some sort of protection against once accident bankrupting you in civil suits.