Final answer:
The required culpable mental state for conducting illegal bingo in Ohio is knowingly.
Step-by-step explanation:
In Ohio, when it comes to conducting illegal bingo under statute 2915.07, the required culpable mental state is knowingly. This means that the person must have knowledge that their actions are in violation of the law. Knowingly conducting illegal bingo involves intentionally and consciously engaging in the activity despite understanding its illegal nature.