Can I be sued if my dog bit another person?

Yes.

Yes, you can be responsible if your dog got off the leash and and went after another dog and the owner of the other dog wound up getting bit.

Yes, you can be sued for injury caused by your dog. California Civil Code Section 3342(a) imposes liability upon a dog owner if that dog causes injury to another person regardless of the dogs viciousness or the owner's knowledge (or lack-thereof) of the dog's viciousness. Also, a dog owner may be liable under ordinary tort causes of action such as negligence and negligence per se. If it was your dog that caused the fight because it "got off of the leash and went after" the other dog, then it does not matter which dog bit the other person. Your dog still caused the injury to the other person because, had you dog not gotten off its leash and went after the other dog, the other person would never have been bit. If you are sued you should hire an attorney to help limit any potential damages. I handle personal injury cases and if you would like to discuss this over the phone you can contact me.

Dog bites are strict liability, meaning if your dog bit her you are liable without any consideration of fault. Your knowledge of the dangerous or vicious propensities of your dog is no longer required.