Here are different scenarios depending on how the series pans out
Australian fast bowler Josh Hazlewood received his reward for some fine domestic form on Wednesday when he was included in a pace-heavy 13-man squad for the first two One-Day Internationals against South Africa next month.
Stopping a resurgent Australia would not be easy but a confident India would look to end the series on a high when they compete in the fifth and final ODI match, in Nagpur, on Sunday.
Australia avoided a series whitewash as they survived a mid-innings wobble to beat England by five wickets in the third T20 international and regain their top-ranking in the sport's shortest format on Tuesday.
A series win will be an ideal confidence booster for India before the visitors hit Test match mode.
Ben Stokes' dismissal soured Australia's 64-run over England in the second ODI at Lord's on Saturday.
Team India possess a much more balanced squad in the shortest format.
India's vacant cupboard of all-rounders will give Virat Kohli and Ravi Shastri numerous points to ponder.
Marnus Labuschagne scored a sparkling 185 to help Australia to a commanding lead before the home pace attack struck to leave Pakistan facing a heavy defeat on the third day of the first Test in Brisbane on Saturday.
'They have got so much talent. And in the last 10 years when they have not been playing home Test matches (for security reasons), they have done a remarkable job to be as competitive as they have and continue to bring on the level of talented players they have.'
Australia's new squad member Peter Handscomb will be thrust into the cauldron of Thursday's World Cup semi-final against England as replacement for Usman Khawaja, coach Justin Langer has said. Langer also confirmed that all-rounder Marcus Stoinis had passed a fitness test and was ready for Edgbaston while refusing to guarantee the mercurial Glenn Maxwell a place in the team.
Australia, who won the toss and batted in the day-nighter, reached 248 for four at stumps with Labuschagne 110 not out and Travis Head unbeaten on 20.
A few bruised egos will eye redemption when India square off against Australia in the second Test in Melbourne from Saturday, ready to bounce back in skipper Ajinkya Rahane's hour of reckoning after their batting debacle in the series opener in Adelaide.
India tour is not final marker for World Cup hopefuls, says Langer
Australia batsmen Aaron Finch and Chris Lynn have been ruled out of the two-match Twenty20 series in Sri Lanka with injuries.
Images from Day 5 of the fourth Ashes Test, at Old Trafford, Manchester.
Warner, himself, said he had no regrets but admitted he was thinking about Lara's record as he motored past 300.
There will certainly be some distinct home advantage for Australia along with the experience of playing more Day/Night Tests.
Australia wicketkeeper Brad Haddin is in a race to be fit for the Test series against India after being ruled out of Australia's One-Day series against South Africa.
Rajneesh Gupta presents us all the numbers that matter in T20 World Cup 2021.
Carey was named a co-vice captain of the limited-overs sides captained by Aaron Finch during the home summer, and has impressed with his glovework during recent series against Pakistan and India.
South Africa secured a fourth successive One-day International victory over Australia as captain Faf du Plessis top scored with 69 runs in a six-wicket win on Sunday.
IMAGES from the 1st Test played between Australia and New Zealand in Melbourne on Thursday
Wade could get a look in as Australia bring Handscomb; Stoinis fit for semi-final
Images from Day 2 of the first Test between Australia and New Zealand in Perth on Friday
Glenn Maxwell equalled the fastest fifty by an Australian in Twenty20 internationals as the tourists clinched a four-wicket win against Sri Lanka on Friday that secured a 2-0 series victory.
Spinner Nathan Lyon, top order batsman Usman Khawaja and all-rounder Moises Henriques have been omitted after being selected in the squad that defeated Sri Lanka 4-1 away
If Rahane's side can go 2-1 up and ensure the retention of the Border-Gavaskar Trophy, it will be one of the finest hours in the history of Indian cricket
Australia's number one opener David Warner on Saturday said he is 'highly doubtful' about attaining full fitness ahead of the third Test against India though he will do everything possible to respond to a desperate selection panel and team management's call.
Smith was ruled out of the third Test due to concussion and Hohns said the form of his replacement, Marnus Labuschagne, would be a factor in finalising the batting order.
India captain Virat Kohli on Tuesday said he no longer considers Australian cricketers his friends after being targetted both on and off the field by them in a fiercely-fought Test series that his team won.
Australia captain Steve Smith won the toss and opted to bat against an Indian side missing their inspirational skipper Virat Kohli through injury in the fourth and final Test in Dharamsala on Saturday.
Images from Day 2 of the Pink-ball first Test between Australia and India, in Adelaide, on Friday.
Skipper Matthew Wade led from the front with a sparkling century as Australia A cruised to a 108-run victory over South Africa A and maintained a clean slate in the tri-series cricket tournament, in Chennai, on Wednesday.
Factbox on the five-Test Ashes series between England and Australia
Virat Kohli's woeful form continued as India 'A' were shot out for a paltry 135 by Australia 'A' in the second unofficial 'Test' in Chennai on Wednesday.
The hard-hitting 27-year-old becomes the fifth Australia player to leave the Indian Twenty20 tournament early following the departures of captain Steve Smith, John Hastings and Mitchell and Shaun Marsh
Yadav had also picked a hat-trick in the U-19 World Cup against Scotland in the 2014 edition of the tournament, becoming the first Indian to achieve the feat in the competition.
Left chasing shadows in the first two games, a listless Indian team would most certainly tweak its bowling combination in order to avoid a second successive clean-sweep when it takes on Australia in the third and final ODI, in Canberra, on Wednesday.
Aaron Finch's team and its entourage of support staff sat down in a circle on the field, with each member taking turns to talk about the side's run in the tournament