That could be a psychological trick that uses buyer's remorse to push you to choose whichever the coin did not choose. And also what you "feel you want" is not

That could be a psychological trick that uses buyer's remorse to push you to choose whichever the coin did not choose. And also what you "feel you want" is not the same was what you will be happy having chosen. (Forecasted utility vs experienced utility vs remembered utility is a researcher program in behavioral economics). I do seem to recall a research paper that showed that the coin trick worked well, in an experimental setting with people deciding whether to get married or break up!