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He made 107 against South Africa in Antigua in May but was omitted from the team for the Gabba defeat.
The second game takes place three days later with the final match at The Gabba in Brisbane on 19 June.
Australia will face the same situation as England did at the Gabba and I certainly wouldn't back them to do it.
The first two matches will be played under the roof at Melbourne's Colonial Stadium, with the third taking place at the Gabba in Brisbane.
The ABC is hoping still to coax him back, I hear, and I hope it succeeds in time for the first test at the Gabba.
Australia will meet Pakistan on 12, 15 and 19 June, the first two indoors at Melbourne's Colonial Stadium and the final game at the Gabba in Brisbane.
But despite the extreme floods, the Gabba has been largely unaffected by the freak weather, with groundsman Kevin Mitchell Jr expecting no problems with the pitch on Sunday.
Cook's 235 not out was the sixth best Ashes score by an Englishman and he also surpassed Sir Don Bradman for the highest Test score at the Gabba.
The series will feature the usual five Tests, starting at the Gabba in Brisbane before moving on to Adelaide for the second Test and then Perth for the third.
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The hosts, with a proud record at the Gabba, had established what appeared a winning position when Hussey and Haddin gave them a first-innings lead of 221 late on day three.
The first Test, meanwhile, will take place at Brisbane's Gabba on Thursday, where wet conditions in the build-up have ensured low scores and plenty of results in early season domestic games.
England practised at the Gabba for the first time on Tuesday, spending an hour doing fielding drills around a wicket that looks surprisingly green before spending a further two hours in the nets.
Sri Lanka can sweep this series 3-0 with a win in Brisbane on Sunday, but the Aussies will be desperate to stop the rot at the Gabba, where the Ashes series starts in 20 days.
The interval saw Matthew Hayden, who announced his retirement from first-class cricket earlier in the day, embark on a lap of honour in front of a 50, 000 strong crowd at his home ground at the Gabba.
England's Test bowlers have been practising at the nearby Allan Border field having been rested for the match against Australia A in Tasmania - and they will get their first look at the Gabba on Sunday.
But the reality is that come 11am on 25 November at the Gabba in Brisbane, it is unlikely that anything that happens over the next fortnight will be even remotely in anyone's thoughts or have any bearing whatsoever on the outcome of the Ashes.
His career was cut short after 113 wickets in 27 Tests and 63 in one-day internationals, and he was an interested obersever at The Gabba as Bracken received his prized Baggy Green cap, having been recruited as a bowling coach by India to help left-armers Zaheer Khan and Ashish Nehra.
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