An Imperial College of London study of the efficacy of the various Wuhan Virus vaccines, led by Oliver Watson, indicates that around the world, 20 million lives were saved in the first year of the vaccines’ availability. In the US, according to the study, some 1.9 million lives were saved by the vaccines.
Using data from worldometer‘s Coronavirus Web site, that works out to a bit over 2% additional lives saved given a case (not given an actual infection) in the US, which is a good improvement, especially for those 2%. But it’s also only a 2% improvement, and it comes against an already low mortality rate for the virus, other than for those with serious comorbidities and/or who are older than 85-ish.
And the study doesn’t appear to break out lives saved by health or age category, so the improvement could be even less for those who start out largely healthy and not in geezerdom.
That puts the probability of gain down in the region where it’s also useful to consider the probability of deleterious side effects from the vaccines.