Legal Question in Landlord & Tenant Law in California

You may very well be. The tenant is directly liable and would be liable to indemnify you, but what if they let their insurance lapse? You can always be sued for the conduct of your tenants subject to the right to sue your tenant, but if your tenant loses their insurance, you're stuck.

You may be if you have knowledge/notice of the dog's dangerous propensity either prior to or after leasing the property to this renter. Tread carefully here; our office has brought cases in the past against landlords when they ignore this responsibility and someone is injured as a result.