Inglis sustained an injury in a freak accident while playing golf.
Green top scored for Australia scoring 61 off 30 balls hitting eight fours and four sixes. Matthew Wade too scored an unbeaten 45 off 21 balls to take the World Champions across the finish line.
The five-match series will begin on November 23 in Visakhapatnam and will conclude in Hyderabad on December 3.
Windies were restricted in their second innings by economical seamer Josh Hazlewood (3-23) and spinner Nathan Lyon (3-42).
New opener Steve Smith, thrust into the role after David Warner's retirement, fell to Roach for six in the first over of Australia's innings when a seaming delivery was adjudged lbw on review.
Matthew Short has also been called up as an extra batter while Travis Head recovers from a fracture to his left hand.
Mumbai Indians will look to address their poor death over bowling when they take on a resurgent Gujarat Titans.
Australian cricketers will have to wear neck protectors on helmets when facing fast or medium pace bowling from October
It was another forgettable outing for Mumbai Indians against Chennai Super Kings this season as they suffered a six-wicket thrashing in Chennai on Saturday.
Ashwin has taken 24 wickets in the series so far with an innings left to bowl, but his 6/91 in 47.2 overs will certainly go down as one of his best efforts on a flat deck
New pace sensation Mayank Yadav will be closely followed by all and sundry after his match-winning performances as Lucknow Super Giants eye a hat-trick of wins when they take on an inconsistent Gujarat Titans in the Indian Premier League match in Lucknow on Sunday.
The Australians still managed to score at a fair pace and will resume on Monday on 77-4 with Mitch Marsh, who was 27 not out, and Travis Head, unbeaten on 17, looking to cut deeper into their 279-run victory target.
Josh Hazlewood took a five-wicket haul to skittle New Zealand for 162 on Day 1 of the second Test.
Erskine hit back at Johnson, stating that his questioning Warner's selection isn't logical.
Pat Cummins confirmed Australia's new-look batting line-up on Tuesday with Steve Smith to open and Cameron Green at number four in the team to face West Indies in the first Test at Adelaide Oval from Wednesday.
Australia opener David Warner looks likely to get the Test farewell of his choice after being named in the 14-man squad for the opening clash in the three-match series against Pakistan on Sunday.
One piles up runs, the other piles up wickets. Both Kane Williamson and Tim Southee will hope to add to their hauls when they play their 100th Test match against Australia in Christchurch this week.
IMAGES from the 1st T20I played between India and Australia in Mohali on Tuesday.
David Warner and Ashton Agar were included in Australia's squad for next month's one-day international series in India on Thursday despite being sent home from the test tour this week.
Lyon will be lauded for his 10-108 over the match, there was little doubt that Green's brilliant knock in a 10th-wicket partnership of 116 runs with Josh Hazlewood set the platform for the victory.
Rachin Ravindra, who reached the half century mark for the second time in his short test career and was 56 not out at stumps, will resume on day four alongside Daryl Mitchell, who was unbeaten on 12, in a partnership worth 52 runs.
After several losses in the early years of the new century, a resurgent India notched up two consecutive series wins in Australia to become the Aussies' nemesis.
Australia head coach Andrew McDonald is concerned about Cameron Green's workload leading up to IPL 2023.
The 30-year-old all-rounder's name, though, figured in the list of retained players announced by Gujarat Titans, his existing franchise, earlier on Sunday, the last day for player release and retention.
'It's really amazing for my team mates, I must give another shout out to them. They're really encouraging.'
Correct decision was made: Ponting on Green's catch to dismiss Gill
IMAGES from Day 4 of the WTC Final played between Australia and India at The Oval in London on Saturday.
Will Australia become the first team to win back-to-back T20 World Cups?
Marnus Labuschagne broke into Australia's 15-member squad for the 50-over World Cup in India at the last possible moment on Thursday on the back of his strong recent form while injured opener Travis Head was also included.
Chennai Super Kings bowling consultant Eric Simons heaped praise on Bangladesh pacer Mustafizur Rahman for executing plans perfectly and setting up a comfortable six-wicket victory over Royal Challengers Bengaluru in the IPL opener in Chennai on Friday.
Royal Challengers Bengaluru's IPL campaign that began with optimism has melted into chaos. Their bowlers require a drastic transformation in mindset against Sunrisers Hyderabad for them to register an elusive win in Bengaluru on Monday.
Kohli has not played competitive cricket in almost two months after opting out of the recently-concluded Test series against England at home
Australia's pacemen Mitchell Starc and Pat Cummins ripped out England's top order with a masterclass of textbook bowling to put their side in sight of a 2-0 Ashes lead on Saturday.
Australia captain Pat Cummins said he will play all three ODIs against India after completely recovering from his left wrist injury/
India pacer Chetan Sakariya, who played with Mitchell Marsh at Delhi Capitals in the last two seasons of IPL, is impressed by the Australian's simple approach to batting.
The Royals spinners kept the RCB batters quiet.
Australia wicketkeeper-batter Alex Carey is not interested in specialising in long-form work, although he is hoping for another Melbourne Cricket Ground (MCG) hundred when hosts take on Pakistan in the second Test, saying that "plenty of ODI and T20 cricket is still left in him."
'I don't think it's deserved. I think he'll be able to work through that. It's a new challenge for him, a new position.'
Latest pace sensation Shamar Joseph on Tuesday became the first West Indian to win the Men's ICC Player of the Month award for his heroics in the Australia Test series.