0% of people have lived to 150 years of age. So we should not expect to live to 150 years of age either unless dramatic medical discoveries about anti-aging are made.
The probability of death (of the persons who are currently living) is not influenced by the amount of people who have died so far. As it stands, there are biological reasons for why humans have a finite lifespan. As long as these things are yet to be circumvented, man is mortal.
Since immortality is the ability to live forever, humans will never achieve immortality because it can never be known whether someone will live forever or just hasn't died yet.
Given that every person in history has eventually died and only a much smaller amount is currently alive, I'd say that the possibility of immortality grows smaller and smaller, with nothing to indicate that it is possible.