Dying as a result of a tooth extraction is entirely possible but the good news is that it's very rare that someone dies from a tooth extraction.
The person who dies from a tooth extraction likely had some other infection after the tooth extraction that lead to the death of the person.
I have read online before of a few people dying after a tooth extraction but it's really not that common to die when you have a tooth extraction done.
A tooth infection can also kill you as well if you don't get the tooth extracted or have the tooth infection fixed up.
Tooth infections can sometimes lead to other health issues such as heart disease or give you a blood infection which then leads to the death.
I have went in for tooth extractions before and I came out very healthy although I had some pain for awhile after the tooth extraction.
It can be scary but you're not likely to die as a result of a tooth extraction that is done by a qualified and highly trained dentist.