The Phenomenon of Female Muslim Suicide Bombers

I do not understand this. Not suicide bombing, which also makes no sense but you sort of understand that desperate people do desperate things.

But why women, who have none of the rights of a man under most Islamic laws? Why would men even allow it?
From CNN:

Saijida Mubarak Atrous al-Rishawi said her explosives belt failed to detonate.

An Iraqi woman in Jordanian custody said in a televised confession today that she tried to blow herself up with her husband in an Amman hotel last week, in one of three attacks that killed 57 people. Her husband detonated his explosives belt, but she said hers didn't work. "I tried to detonate mine but I failed," she said, adding that people fled the room, and she fled with them.