Ok, I'll try to solve that... "You have a coin. Before flipping it, decide which flips you will count. Now flip it sixteen times, only paying attention to the

Ok, I'll try to solve that... "You have a coin. Before flipping it, decide which flips you will count. Now flip it sixteen times, only paying attention to the nth and mth flips. If n and m agree, then answer truthfully, otherwise answer according to m's result, in a manner that you personally pre-designated" :) That's when the survey-taker looks at you cross-eyed and just lies on the question.