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The Ian Healy Oval is where the match was played.
The other England batters failed to score on the final day of their warm-up match in Australia.
After taking two of the three available points, he hit six fours in 56 balls before retiring to allow others to bat.
Bairstow fell for a first-ball duck against the England Lions, while captain Joe Root was out for eight.
Haseeb Hameed was dismissed for seven and Dawid Malan was dismissed for nine.
England responded to the Lions with a score of 226-4.
Bairstow scored 11 as a number of players swapped sides or returned to bat for a second time.
It was the last day of warm-up action for England before the first Test against Australia starts on Tuesday.
The first two days of the four-day match were washed out by the rain, and the last three days of the warm-up were wiped out.
A win in Australia would not compare to anything else.
