Fud, if the coin is, in fact, "two-headed", it cannot, in fact, land on tails. If the coin, in fact, lands on tails, it is not, in fact, "two-headed".
It's impossible for the coin to change when you flip it?
Fud, is it possible that I am her most serene and august imperial majesty, queen Winnifred I of Koozbain?
I don't know what "Koozbain" means. It's like asking if any emeralds are "grue". If "grue" means entirely blue and entirely red at the same time, then it's not possible. If "grue" means "green", then yes.