It is rare for a healthy women to die in labor in the hospital. Majority of maternal death connected to a preexisting cardiac condition. Women who previously could not ever hope to carry a baby to term, do, thanks to modern medicine but still risk is large.
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Bleeding while an emergency, is very manageable in the hospital because of medication, blood bank and OR down the hall.
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Even something as horrible as amniotic embolism that has 100% morality rate at home, has 50-50 change in the hospital.
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Cardiac arrest is far more survivable in the hospital because of the defibrillator availability. I doubt her home birth midwife had even the simplest AED.
It is very sad story. And what makes it sadder for me is that it probably did not have to happen if this young woman was in the hospital.