It all comes down to statistics. And with the MMR, the statistics are very much in your favor, on the order of 97% or better. But that 3% of around 300 million people is not negligible. This is why the antivax jerks will frequently point to outbreaks like Disney and say “Vaccinated kids got sick too, that proves they don’t work.” No, it proves that 3% of a huge number is bigger than 100% of a small number. But math is hard.
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