General term for luck, fortune, or fate, covering both good and bad outcomes. Often used in set phrases like 運がいい (lucky) and 運が悪い (unlucky).
Today is a lucky day.
He was unlucky and failed the exam.
Let's try our luck once.
He is always blessed with good luck.
All that's left is to leave it to fate.
Whether I pass or not depends on luck.
Luck was on my side today.
I made the most of my chance and seized my luck.