March Madness 2019: Odds for every team to win the NCAA Tournament Unknown 06:58 Duke opened as the favorite to win the 2019 NCAA Tournament as the No. 1 overall seed. Share this Share on FacebookTweet on TwitterPlus on Google+ Related PostsWho will be The Best Women's Player 2018?Who will be The Best Men's Player 2018?Grand Final player to watch: August 'Agge' Rosenmeier