[pzhon]

Suppose you can choose a coin with two heads or two tails, but after choosing which trick coin to use, you have to let your opponent call the toss. Which coin should you use? If the poll were strongly biased in one direction, you could have a significant advantage even though you let your opponent call the toss.

So far, there doesn't appear to be a big difference between heads and tails. I hoped there would be, just as there was in my rock-paper-scissors polls. People are not good random number generators individually, and sometimes this even means they are not good random number generators as a group.