Base Rate Neglect: Ignoring the Odds
If you hear hooves, think horses, not zebras. Converting specific information into probability requires knowing the base rate.
The Shy Librarian
Tom is shy, loves books, and is very tidy. Is Tom more likely to be a Librarian or a Farmer? Most people say Librarian because he fits the stereotype. But there are 20 times more farmers than librarians. So statistically, it is much more likely that Tom is a shy farmer.
The Medical Test
A disease affects 1 in 1000 people. A test is 99% accurate. You test positive. What is the chance you have the disease? Most say 99%. The real answer is less than 10%. Why? Because out of 1000 people, 1 has it (true positive), but 10 healthy people test positive (false positive). So 1 out of 11 is ~9%.