Negligence, not a statute
Nevada has no statewide strict-liability dog bite statute. Dog bite cases depend on negligence: what the owner knew about the dog, the circumstances of the attack, and whether the owner broke an animal-control law. The Nevada Supreme Court rejected the one-free-bite idea in 1971 and sends dog bites through traditional negligence analysis.
NRS 202.500 defines dangerous and vicious dogs and is mainly a criminal and regulatory statute. Your own fault reduces the award under NRS 41.141, and negligence claims have a two-year deadline.