Quicken Loans offered a prize of $1 billion dollars to anyone who could correctly predict the winner of the NCAA basketball tournament. After the “play-in” games, there are 64 teams in the tournament. The 64 teams play each other in a series of single elimination games until there is 1 championship team.
A) How many distinct team games (not rounds!) are required to get 1 championship team from the field of 64 teams?
B) If you make random guesses for each team game of the tournament, find the probability of picking the winner in every game.