Still a risk for taking a vaccine though, even if it's remote compared to the diseases they prevent. But yeah, majority compared to the minority and all.
For example, I had a very bad reaction to the MMR as a toddler (whatever the age is when they first gave it around 30 years ago); probably fatal if I was given it again. It didn't stop me from getting measles either later on in life. A waste of time, and nearly fatal in my case. Subjectively, the MMR vaccine sucks in my case.
There's always exceptions.
I had a tetanus needle the other month, no problems.