Final answer:
A 2. strike-slip fault, which involves horizontal movement of the Earth's crust, would NOT produce a tsunami, as it does not result in significant vertical displacement of the ocean floor.
Step-by-step explanation:
The kind of earthquake-producing fault that would NOT produce a tsunami is Option 2: a strike-slip fault. This type of fault involves the horizontal movement of the Earth's crust. In general, tsunamis are more likely to be generated by faults where there is vertical displacement of the sea floor, as in the case of normal, reverse, and thrust faults.
These types of faults can cause significant uplift or subsidence of the ocean floor, displacing water and potentially leading to the formation of a tsunami. On the other hand, strike-slip faults typically do not result in vertical displacement of the ocean floor; hence, they are unlikely to cause tsunamis.