in addition to the math of probabilities and science. The truth is, there's a verrrrrrrrry small chance of a poor reaction in any individual and that individual will pay a very heavy price if that very unlikely bad reaction happens to them.
Everybody is going to have different abilities to understand the issues but they all should have the right to decide for themselves. In the meantime, most people who understand facts have an interest in getting 100% adoption of the vaccination plan.
The perfect scenario is for the smart people who know vaccinations are really important to also have the compassion and restraint to allow others to (perhaps unreasonably) disagree and choose for themselves.
Its a fascinating human interaction problem to watch play out in families and communities.