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Steve Smith remains unbeaten on 85 as Australia made 339/5 at stumps.
Cummins, 28, becomes only the second specialist fast bowler to take over the Australian captaincy after Ray Lindwall, who led for one Test against India in the mid-1950s.
Smith said he has learnt to live with the damage caused to his career and reputation by the 2018 ball-tampering scandal.
All-rounder Cameron Green is guaranteed to make his Test debut if he clears concussion protocols but Paine said Green would not be considered for the opening role.
Success in sports requires a unique fearlessness in addition to tremendous self confidence.
Royals will also miss Ben Stokes and Jofra Archer in the remaining three group games as the England internationals will join their national side in the training camp for the upcoming World Cup.
The two were recalled to the national team after Australia named their 15-member squad for World Cup beginning May 30 in England and Wales.
The management believes that bringing him back at the helm might change their fortune.
With an aim to get back in the Australian side for the World Cup, Smith is expected to raise his game for the Royals.
Smith was handed a one-year ban along with his then deputy David Warner exactly a year ago for their roles in the ball-tampering scandal in South Africa.
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