You purchase a trick quarter at a magic shop that comes up heads 75% of the time when tossed. One day, you accidentally put it in your pocket with a (fair) quarter, and now you are having a hard time telling the two apart. In an attempt to tell the two coins apart, you choose one of them at random and toss it three times. If the coin comes up heads all three times, what is the probability that it is the fair coin?