Difference between snow and snowball fight in Korean
눈·눈싸움

눈snow
Snow is the white ice that falls from the sky in winter. In Korean, 눈 can mean snow, and people use it when talking about winter weather. You can use this word for snow outside the house, on the road, or at school.

눈싸움snowball fight
눈싸움 usually means a staring contest: two people look at each other and try not to look away first. It is a casual, playful word, and people also use it when two people silently stare at each other because of tension. Be careful: in some situations, 눈싸움 can also mean a snowball fight, so the context is important.
The difference
눈 by itself means "eye" or "snow," depending on context. It is not a contest or a fight.