It said the victim involved "was seriously injured, but not dead" and included an update on his condition later in the day.
There was no update to his condition Tuesday night or Wednesday morning.
Local authorities did not give an update on the condition of the bus driver but said one person died after the shooting on the bus.
But there has been no update on his condition since then.
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Two presenters on the Sydney-based radio station are reported to have convinced staff they were the royals, were connected to the duchess's private nurse in the early hours of Tuesday morning and given an update on her condition.
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Mrs Saldanha answered the call and put them through to another nurse who gave an update on the duchess's condition.
Jacintha Saldanha answered the call and put them through to another nurse who gave an update on the duchess's condition.
The BBC's Milton Nkosi, outside the residence, says there are many police vehicles parked there, as well as a large number of journalists waiting to hear any update on Mr Mandela's condition.
Mrs Saldanha, a 46-year-old wife and mother of two, transferred the telephone call on 4 December to a colleague who then gave a detailed update on the duchess's condition to the hoaxers.
Mrs Saldanha answered the call from Sydney broadcaster 2Day FM in the early hours of the morning on 4 December and, believing they were members of the Royal Family, put them through to another nurse, who gave an update on the duchess's condition in detail.
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Earlier this year, Oscar's parents set up a Twitter account so they could update friends and family on Oscar's condition each time he was in hospital.
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