Matthew Wade has been axed while wicketkeeper-batsman Alex Carey and fast bowler Mark Steketee have been handed a maiden call-up.
India vs Australia: James Pattinson, who didn't feature in the first two Tests, will not be replaced in the Test squad.
Australia's chief of selectors Trevor Hohns said the standout performances of the uncapped players in Sheffield Shield made the call to pick them a no-brainer.
Test vice-captain David Warner will have the company of either Burns or Bancroft in the first Test starting on November 21 at Brisbane.
Matthew Wade has been picked ahead of Alex Carey in a 17-man Australia squad.
At stumps, the Graeme Hick XII was 96/7 in response to the Brad Haddin XII's 105 all out.
Queensland's two-and-a-half day win over South Australia in Brisbane saw a record 13 ducks scored.
Ashton Agar, Glenn Maxwell and Adam Zampa will serve as substitute fielders for the Abu Dhabi Test if needed.
Australia coach Justin Langer said that the team management is pondering over how to manage the workload of the pacers during the ongoing Pakistan series.
Australia will face Pakistan in a two-match Test series with the first beginning on October 7.