Renters need insurance too.
You are not covered. Your landlord likely has insurance to protect the building you live in. However, building doesn’t cover your belonging.
“The stuff I have isn’t worth much.” Maybe your stuff isn’t, but how how about the person in the apartment below yours? If your, dishwasher, laundry, or shower overflows, you could be responsible for the cost of repairs, replacement of belongings or living expenses if they displaced due to an overflow in your apartment. That could cost a lot.
Your Negligence. Renters insurance can cover bodily injury and property damage caused by your negligence – wherever you are.