Unfortunately that well-worn example usually only proves that "false positive" as a technical term fails to match people's intuitions. The underlying problem ab

Unfortunately that well-worn example usually only proves that "false positive" as a technical term fails to match people's intuitions. The underlying problem about the base rate is important to teach, but it's easy for well-meaning people to try and teach the base rate lesson but fail by instead teaching a bullshit gotcha about the definition of "false positive."