Answer:
One of the thermodynamic principles says that the entropy increases when the temperature increases, and we have the relation:
dS/dT > 0.
Now, we know that the steam will have more temperature than the ice, so we can say that the entropy of the steam is bigger than the one of the ice.
You also can see in a more "simplistic" concept, entropy is viewed as the amount of "disorder". Now, then the ice has a defined shape where each particle kinda maintains their position, the case is different for gas (the steam in this case) where the particles are almost free, then in the gas, the disorder is bigger than in the ice, and the entropy is also bigger.