Bangladesh and Australia have met each other four times in T20Is. All four meetings have come in the T20 World Cups, with Australia emerging victorious on all occasions.
Zimbabwe still trail by 337 runs and unless they bat out the whole of the fifth day on Sunday, it looks likely that they will lose the Test.
Mahmudullah informed his colleagues that he is not willing to continue his Test career anymore, leaving the team management shocked.
One demerit point each has been added to the disciplinary records of the players, both of whom did not have any previous offence in a 24-month period.
Bangladesh's Taskin Ahmed and Zimbabwe's Blessing Muzarabani had a heated face-off during the second day of the one-off Test.
The right-handed Mahmudullah shared a 191-run ninth wicket partnership with bowler Taskin Ahmed, who made 75 on the second day.
Bangladesh, who had won the toss and elected to bat, were in a spot of bother when they were reduced to 132 for six wickets.
The decision was taken after Shakib Al Hasan misbehaved with umpires and kicked and uprooted the stumps during a Dhaka Premier League (DPL) match.
Shakib had apologised for his actions after the match, which his team won by 31 runs under D/L method.
All-rounder Shakib and left-arm pacer Mustafizur play for Kolkata Knight Riders and Rajasthan Royals respectively.
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This will be only the fourth time ever that Australia will tour Bangladesh following tours in 2005-06, 2011 and 2017.
Mushfiqur Rahim was in cracking form for the hosts, slamming a 127-ball 125 to get his team to 246 on a tricky wicket after Bangladesh won the toss and elected to bat.
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Mahmud, 49, was the Bangladesh team director on their recent Test tour of Sri Lanka but miss the home ODI series against the same team, which starts on Sunday.
Bangladesh host Sri Lanka for three ODIs, all of which will be played in Dhaka. The matches will be played on May 23, 25 and 28.
Sri Lanka have named a young squad for the series, which starts on May 23.
All-rounders Dhananjaya Lakshan and Ishan Jayaratne tested positive on Saturday and have been quarantined for 14 days.
The team, which departs for Dhaka on May 16, will play an intra-squad practice game on May 21 after a short quarantine.