It’s equally possible that there was more than one or even a day where only people were born and no one died.
There was a low point where only about 2,000 humans were estimated to be alive. Certainly you couldn’t have had someone dying everyday then
This is a statistic problem. It is likely to occur at least once per year with a population below 250,000.
Age is distributed and we’re only looking for one day, with a day being no well defined so we have to assume any given 24 hour period.
If it was under 10,000 there could be entire weeks without a single death.
This is based on the chance of any random person dying being 1:50,000.
This is today’s rate and in the past most people died young but the chance of it occurring does not require the population be lower than that chance of a random person dying because we’re looking for any day not a specific day.
You’re right in general, but 1:50,000 implies an average lifespan of 137 years, unless I’m missing something. I think 1:15,000 is a more reasonable estimate.