Final answer:
Ohio statute 2915.06 specifies 'knowingly' as the culpable mental state for prohibited conduct regarding Skill-based Amusement Machine.
Step-by-step explanation:
In the context of Ohio statute 2915.06, which addresses Skill-based Amusement Machine Prohibited Conduct, the specified culpable mental state is knowingly. This indicates that a person engages in the conduct with awareness that their actions are prohibited. This contrasts with other mental states such as negligently, recklessly, or purposely, each of which has a different legal implication regarding the level of intent or awareness associated with the prohibited conduct.