Would you rent to a Pit Bull owner?

[Liz F]

I have a prospective tenant who is moving to our area to work as an air traffic controller. He seems very responsible, but he has a pit bull. The dog seems very friendly but I am afraid to be opening myself up to liability. It is a single family house and it has a fence all around. He plans to get renters insurance and any additional insurance. I live in Florida and Pit Bulls are not banned in our county. Would you rent to a Pit Bull owner?
My other prospective tenant is a family with 3 kids which would probably be a safer bet.