Question
Steven and his friend are playing a game where the first person to flip a heads wins. Steven's friend sadly only has a biased coin with a probability of $0.4$ to get flip a heads. Since the friend is at a disadvantage, they decided that he would get the chance to flip first and then they alternate who flips their coin. Steven has a special coin where he can choose the probability it comes up heads. Because Steven is a fair man, he wants this game to be fair to both players. What probability of heads should Steven set his magical coin at to make this game fair?