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[–] phw 0 points 1 point (+1|-0) ago 

I think the idea is that vaccines aren't 100% effective. Say you have a measles vaccine that's theoretically 98% effective (number pulled from my ass, replace with the real one if you care enough to look it up). But even for the unlucky 2% of vaccinated people, they can still only catch measles from someone who has it, meaning they're 50 times more likely to catch it from an unvaccinated person than a vaccinated one.

  • The disease can spread freely among the unvaccinated population;
  • It can spread between an unvaccinated person and a vaccinated person only if the vaccination was ineffective (2%);
  • It can spread between two vaccinated people only if both vaccinations were ineffective (0.04%).

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[–] RedditisPropaganda31 [S] 1 point -1 points (+0|-1) ago 

Cool math