I attempt to eschew trivia, to avoid learning things that have little value. By definition, trivia is trivial, so it is desirable to know as little of it as possible. Anything that I have knowledge of that is not useful represents an opportunity cost of foregone useful knowledge. Perhaps winning trivia night should be considered a mark of shame.
I don't really keep up with the news all that much. Most things are outside of my locus of control. Does it really matter what celebrity did something, or that a tornado just hit a midwest town? Tornadoes will be hitting towns and celebrities will be doing things until the world ends. But knowing this fact allows me to mostly safely abstract away the news. Every now and then I don't hear about something, but then people are able to fill me in on the details. Following news on a daily, or worse, hourly, basis is a recipe for wasting time and getting little value.