Unchained, everything we do in life is full of risks. We could all die today driving to work. Yes, all of us will still go to work today, because we recognize the benefits of working, far, far, far outweigh the small risk of driving to work.
Likewise with vaccines. Take Measles for example, in 3rd world countries risk of death after catching it is 30%. While the risk of death is (thankfully) lower in countries with modern medicine, their is still the real risk of permanent neurological damage. The protective benefits of the vaccine, far, far, far outweigh the risks of adverse reactions to the vaccine.