Being a landlord and wanting to protect myself from lawsuits etc I checked with my lawyer. Even if I put it in the rental agreement (lease) that they tenant is to carry insurance in case of the dog biting etc, the injured party can STILL go after me. (remeber this, anyone can sue anybody for any reason..thats not to say they will win but they can and do sue for stupid things.)
So, with that info, I refuse/ban anyone in my rentals from owning ANY pet. (fish are fine)..anything can bite..cats, dogs, gerbils, hamsters, guine pigs, birds..etc. I feel bad since I raised in apartments and always couldn't have pets. I wanted on sooo badly. Anyway, at least with it in the Lease that its no pets, if the tenant sneeks one in, I covered my butt.
Renters insurance is quite cheap..and well worth it. Not just a dog bite issue, if there is a fire/flood/weather related damage etc , the homeowners policy WILL NOT cover any tenants property. A lot of people believe it does, but find out the hard way they are mistaken.