I see no reason to throw out their responses. They appear to just not be familiar with the terminology. To someone that does not know that “fair coin” is defined as having .5 probability for each side, they might envision it as a real physical coin that doesn’t have two heads.
My working theory is that they were trolling.
Either way, should we or shouldn’t we have trusted the rest of their answers to be statistically reliable?
I see no reason to throw out their responses. They appear to just not be familiar with the terminology. To someone that does not know that “fair coin” is defined as having .5 probability for each side, they might envision it as a real physical coin that doesn’t have two heads.