What is the likelihood of dying from exposure to cockroaches?

What is the likelihood of dying from exposure to cockroaches?

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Cockroaches themselves have no venom or poison, but they're expert carriers in spreading disease. They carry polio, tetanus, food poisoning, food borne illnesses; they carry a number of diseases. Cockroaches are one of the most hazardous insects to humans. Over the last 200 years they are attributed to over a million deaths from food poisoning and spreading of diseases from the cockroaches. They used to be so endemic in the turn of the century that sailors on ships would be bringing these cockroaches in. In order to save the sailors, they would put gloves on the sailors' hands because cockroaches like to eat fingernails, and particularly like to eat eyelashes and eyebrows.