So you only have to trust one person to play fair. If you used most common vote, then if 10 people play, 6 could conspire to always achieve tails. But when usi

So you only have to trust one person to play fair. If you used most common vote, then if 10 people play, 6 could conspire to always achieve tails. But when using XOR even if 9 people conspire they can not know if the 10th votes 1 or 0.