Chasing a modest target of 183 for a win, Australia were 83 for one in 16 overs when rained arrived at the Oval and the match could not be resumed after that.
With heavy rain forecasted, Australia were expected to race out of the blocks but Warner and Finch both showed restraint to reach 40 unbeaten after seven overs.
After Aaron Finch was dismissed for 19, and he might struggle to keep Chris Lynn out of the side for the showdown against the old enemy, Smith and David Warner went about knocking off the runs without much fuss.
"But the umpires are there to make a decision and I think drinks was at the end of that over, which probably didn't help".
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A second successive wash-out against Bangladesh has left Australia on two points after two games and needing to beat England on Saturday (7:30pm AEST) to advance to the semi-finals.
There was brief hope after a 55 minute delay that play may restart, with the second innings reduced to 43 overs, but by the time the ground staff had worked tirelessly to remove the covers the rain returned and with it the inevitability of a second no result in as many matches for Australia.
Australia, whose final group match is against England in Birmingham on June 10, were the victims of one of the all-time great upsets when Bangladesh beat them by five wickets in a one-day global in Cardiff in 2005.
Tamim Iqbal and Shakib Al Hasan stabilised the innings with a 69-run partnership, during which Iqbal surpassed his fifty, before Shakib was trapped lbw off the bowling of Travis Head for 29. If the game had carried on perhaps they would have had a different opinion.
"But to be fair, it was raining reasonably hard when we did come off, yeah".
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American fans were able to watch the concert on the cable channel Freeform, as well as Grande's YouTube and Facebook pages. She told the crowd: "I want to thank you for coming together and being so loving and strong and unified".
"I think the pace has been fine for me", he said. "If we take a step back, then we've already lost the game before stepping out there".
"In today's match Australia was far ahead of us, but in the last match against New Zealand, Australia were in the same position [as us] so you can't do anything with the weather", Mortaza said.
Rain affected a match in the tournament for the third time in five games to leave England and New Zealand as the favourites to progress from Group A.
Bangladesh must beat New Zealand on Friday in Cardiff to have a chance of going through.
The Australian paceman bowled Mashrafe Mortaza two balls later, took out the stumps of Rubel Hoosain with his next delivery and came within inches of a hat trick as another swinging yorker flashed past Mustafizur Rahman.
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