> You are mostly right, but are there any cases that a programmer wants to join a company and he can't even write a FizzBuzz program? Maybe I'm just being cyni

> You are mostly right, but are there any cases that a programmer wants to join a company and he can't even write a FizzBuzz program? Maybe I'm just being cynical but once you get involved in the process of screening candidates you realize that people will literally apply to any job regardless of their ability to perform it. So yes, there are thousands of cases every day where someone wants a programming job and can't even write FizzBuzz.