Base Rate Fallacy Shows How Headlines About COVID-19 Infections of Vaccinated People Is Overblown

We’re starting to see news outlets say there is an alarming trend where vaccinated people are getting COVID-19 (such as this one from the WSJ). This is an example of base rate fallacy—in a population with a high vaccination rate it is inevitable that new cases include vaccinated people (especially in a country like Israel with extremely high vaccination rate). We should not take that to mean vaccines are suddenly ineffective (they’re not).