Batsman Daniel Hughes, returning from an ankle injury but still visibly restricted, top-scored with 42 before being run-out by Marsh, triggering a collapse which resulted in the side being bowled out for 92.
Ravichandran Ashwin will become only the 14th Indian player and 77th overall in world cricket to complete the milestone of 100 Test matches.
Veteran all-rounder Hafeez, playing in his first Test since 2016 and his 51st overall, frustrated Australia en route to his 10th century before being trapped in front of the wicket for 126 by pace bowler Peter Siddle in the final session.
The 31-run victory in Adelaide was India's first series-opening win on Australian soil.
Shami ended with a four-wicket haul to help India limit Australia to 263
Images from Day 2 in the fifth Test between Australia and England, in Hobart, on Saturday.
Australia pick two uncapped players for first two Tests
Rohit also said he had picked up a few cues about how to work with spinners from his predecessor Virat Kohli
Australia can take the top Test ranking from India with a series victory
Tendulkar, who had earlier voiced his concern about tackling the dew factor, said the Indian cricket think-tank should do a postmortem after the match gets over.
Team India began their preparation for the Border-Gavaskar Trophy
Sent in to bat on a grassy MCG pitch on Sunday, England were skittled for 185
Cheteshwar Pujara and Ajinkya Rahane shared an unbroken fifth-wicket stand of 93 to keep alive India's hopes of a series-levelling win over Australia, giving the hosts a lead of 126 on a see-saw third day of the second Test in Bengaluru on Monday.
Top order batsman Shaun Marsh was called into the Australia squad for the third Test against New Zealand on Wednesday along with pace bowler James Pattinson and left arm spinner Steve O'Keefe.
It would be interesting to see who India leave out to play Rohit Sharma
Australia named five uncapped players in a raw tour squad to play Pakistan in a Test series in the United Arab Emirates, while recalling pace veteran Peter Siddle for the first time in two years and dropping middle order batsman Peter Handscomb.
England crumbled meekly to 107 for eight in reply to Australia's 481 to put the touring side firmly on course for victory in the final Ashes Test after a dramatic second day at The Oval on Friday.
Jasprit Bumrah's appointment as India's stand-in Test captain is a 'courageous decision' based on his 'tactical nous', and his leadership duel with England skipper Ben Stokes is providing a fascinating sidelight to an entertaining game in Birmingham, said the legendary Ian Chappell.
Photos from Day 3 of the first Test played at The Gabba on Saturday
Australia were all out for 263 on Day 1 of the second Test at the Arun Jaitley stadium in Delhi, February 17, 2023.
All-rounder Hilton Cartwright will make his debut for Australia in the dead rubber third Test against Pakistan in Sydney on Tuesday, with left-armer Steve O'Keefe returning to the side as a second spinner alongside Nathan Lyon.
Opener David Warner is still looking for his first Test hundred against Sri Lanka while Smith has managed only one century in his last 18 Tests.
Promoted to No. 5, Pant played aggressively from the outset, and held his nerve to hit the winning runs as India reached 329 for 7. His knock included nine fours and a six as he stuck to his natural game in the high-pressure closing stages.
England ripped out the last three Australia wickets for 12 runs to win the fourth test by a crushing innings and 78 runs at Trent Bridge on Saturday and regain the Ashes.
'I'm in the team to take wickets and I've had two wicketless games, so we'll see how we go.'
Ashwin responded to Prithi's tweet by saying that it brought him to tears and thanked her for being there with him.
Factbox World Cup match between Australia and England at the MCG.
A burgeoning third wicket stand between Babar Azam and Abdullah Shafique had kept Pakistan in the contest and the duo continued to frustrate Australia when play resumed.
Australia declared their first innings on 556 for nine and then skittled out Pakistan for 148 to seize control of the second Test in Karachi on Monday.
Cheteshwar Pujara stood firm to guide India to 151 for three at stumps on Day 3 for an overall lead of 166 runs.
On a Karachi track that is expected to break up early, Steve Smith and David Warner created rough patches before facing bowlers in the nets to prepare for Pakistan's full-strength attack.
Jofra Archer's first five-wicket haul in Test cricket put England in command on a weather-affected opening day of the third Ashes Test at Headingley on Thursday as they bowled Australia out for 179.
With the second Test set to start on Wednesday, here is a quick fact check on how both teams stand at the Gabba.
Australia repelled a brief England fightback led by Alastair Cook and Ben Stokes to remain firmly in control of the second Ashes Test on the third day at Lord's on Saturday.
South Africa fast bowler Kagiso Rabada will have his appeal against a two-match suspension on Monday as he seeks to play in the rest of the Test series against Australia.
Australia will start favourites in Thursday's clash but a passionate Bangladesh are expected to make life tough for the holders.
Images from Day 3 of the fourth and final Test between India and Australia at the Narendra Modi Stadium in Ahmedabad, on Saturday.
South Africa in trouble at 58-4 in 'Boxing Day' Test
The Indian top-order did not need to go hammer and tongs like the English
Images from the ICC World Cup match between Australia and South Africa at Old Trafford on Saturday
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