Police officers allegedly shot at by a woman while attempting to carry out a search warrant were very lucky to have escaped uninjured, a senior cop says.

The 37-year-old woman was on Monday charged with attempted murder and several gun offences after the incident at Collinsvale, 20km northwest of Hobart, the previous evening.

Multiple police were at the property and had driven past the front gate when they heard a "crack" sound, Tasmania Police Assistant Commissioner Adrian Bodnar said.

It is alleged the woman fired one shot from a .22 rifle from about 60m away which hit the front wheel guard of the unmarked police car.

Investigators believe the woman thought the officers, who were in plain clothes but wearing protective vests, were not police, Mr Bodnar said.

"Regardless, it is repre

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