But he didn't last much longer with Jasprit Bumrah getting the big breakthrough as Marsh pushed at a perfectly angled delivery, getting a faint edge to Rishabh Pant behind the stumps.
The captain celebrated Cummins' dismissal by furiously hurling the ball at the ground, rightfully bullish given the victory equation was as simple as restricting the final-wicket stand to 62 runs or less. I think, as I said, we expect this series to be really tight.
They had bowled India out for 250 in the first innings but conceded a 15-run first-innings lead to the tourists after being dismissed for 235.
Paine, who suffered a finger injury while batting that he insists is not serious, admitted the defeat was "pretty shattering" but backed his team to bounce back in the second Test that starts in Perth on Friday.
Paine says his team proved in Adelaide that they can "fight hard" without "carrying on like a pork chop".
Pat Cummins (28), Mitchell Starc (28), Nathan Lyon (38*) and Josh Hazlewood (13) put together 107 runs as the lower order took the Aussies closer to a morale boosting win. Paine said even though he'd like his top-order facing majority of those overs, there was a morale win for his team in making the Indian bowlers come back for more spells than they would have thought they'd be bowling for a win on the fifth morning.
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"They have a red-hot crack for every single ball".
They resumed the final day of the opening Test needing another 219 for victory with four wickets down.
"The way Vijay and Rahul batted in second innings, I think it was overcast and very important phase, they took on the bowlers, especially Rahul". Lyon was also on a hat-trick when he removed Ajinkya Rahane and Mohammed Shami during India's late innings capitulation when the damage was already done.
Head added just three runs to his overnight 11 and when Marsh fell for 60 to leave the Australians 156 for 6, the odds shifted heavily in India's favour.
The only successful fourth innings Test run chase of more than 300 at Adelaide came in 1902, when the hosts made 315 to beat England, with the biggest in modern times the 239 West Indies managed in 1982. KL Rahul and Murali Vijay showed some fight in the second innings but India needs its openers to lay solid platforms and the likes of Vijay, Rahul and the sidelined Shikhar Dhawan have failed miserably in the tough tours.
"We saw how the pitch is playing and told ourselves we are going to dig deep, but unfortunately, myself, Travis and Shaun couldn't bat long as long as we should have", he said.