A female suicide bomber attacked a predominantly Shiite area in central Baghdad on Sunday morning, killing at least three people and wounding 10, police said.
Police in the Masbah commercial area suspected the woman and asked her to stop but she fled to a nearby building, said an officer, who spoke on condition of anonymity as he was not authorised to release information.
The attack was one of two bombings in Iraq on Sunday morning.
In the northern city of Mosul, a bomb in a parked car detonated, killing a police officer and two civilians, police there said.
The slain policeman was examining the car, which was parked in the eastern section of Mosul, 360 kilometres north of Baghdad, when it was exploded remotely, a police officer said.
Two civilians also were injured in the explosion, said the officer, who spoke on condition of anonymity.
Mosul is the last major urban stronghold of insurgent forces and a focus of the US and Iraqi military efforts. (AP)
Twin blasts kill three in Baghdad, three in Mosul