Step 1: Recall the source material of plaster.
Plaster of Paris is made from gypsum. The chemical formula for gypsum is {CaSO4 . 2H2O} (calcium sulfate dihydrate).
Step 2: Understand the manufacturing process.
To make Plaster of Paris, gypsum is heated to about 150°C, driving off most of the water. This process, called calcination, converts the calcium sulfate dihydrate into calcium sulfate hemihydrate. The prefix "hemi-" means half.
Step 3: Identify the correct formula.
The chemical formula for calcium sulfate hemihydrate is {CaSO4 . 1/2 H2O}. When water is added back to plaster, it re-forms into gypsum and hardens.