The correct answer for this question is option 1, sublimation.

Sublimation is the process in which a substance transitions directly from its solid state to its gaseous state, without going through the liquid state. In the case of dry ice, which is solid carbon dioxide, it undergoes sublimation when exposed to room temperature or warmer conditions.

When dry ice is placed on a performing stage, it begins to sublimate, releasing carbon dioxide gas. This gas then mixes with the surrounding air, leading to the formation of mist or fog. The mist appears as a result of the gaseous carbon dioxide rapidly cooling and condensing the water vapor in the air, creating tiny droplets of water that we can see as mist.

It`s important to note that evaporation (option 2), condensation (option 3), and precipitation (option 4) are not applicable in this scenario. Evaporation is the process of a liquid turning into a gas, while condensation is the process of a gas turning into a liquid. Precipitation refers to the process where water falls from the atmosphere, such as rain, snow, or hail.

In conclusion, the process of dry ice producing mist on a performing stage is an example