I'd expect them to seriously bid for the NBA when the current contract expires in 2016. They already have the NHL, and the NFL contracts are locked in for years.
As for college, they're shut out for more than a decade on the biggest contracts -- the football playoff and the NCAA basketball tournament -- and every major conference is locked up for years in both football and basketball. All they can really do is work at the margins, like the Big East, and bide their time.