[ordinaryperson]

Silver's 2012 book "The Signal and the Noise" discusses our inability to rationally process probability, pointing out that commercial weather forecasts (e.g. Accuweather) never list a probably of rain under 20-25%. A 5% chance of rain is a mathematical possibility but people "feel" like 5% = "will never happen" and get angry if it rains.

Nobel Prize winner Daniel Kahneman's life's work is about this, what he calls "System 1" and "System 2" of our brain, where System 1 is a fast responder that provides insta-feedback but is largely incapable of processing mathematical inputs. His 2011 book "Thinking Fast and Slow" summarizes his work well.

I'm not sure popular media can be trained to frame statistical probabilities in a way that doesn't provide people with the certainty they crave. But who knows?