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Vaccine Efficacy Calculator

Percentages only? Or percentages with population numbers?

Note that population numbers are not required to calculate the result below but they are useful to simplify the calculation — and to remove the need for algebra for those who have been out of school for a while!

Size of the population:
 
Percentage vaccinated:
%
Number of deaths:
 
Percentage of deaths vaccinated:
%
Death for the unvaccinated is 13.59 times more likely than for the vaccinated.

Calculations

  • 87% of the population of 100000 are vaccinated. That is, 87000 are vaccinated.
  • 100% - 87% = 13% of the population of 100000 are not vaccinated. That is, 13000 are NOT vaccinated.
  • 33% of the 100 deaths were vaccinated. That is, 33 who died were vaccinated.
  • 100% - 33% = 67% of the 100 deaths were not vaccinated. That is, 67 who died were NOT vaccinated.
  • 67 unvaccinated died out of the unvaccinated 13000. That is, 1 in 194.03 unvaccinated died.
  • 33 vaccinated died out of the vaccinated 87000. That is, 1 in 2636.4 vaccinated died.
So, unvaccinated are
2636.4/194.03 = 13.59
times more likely to die than are vaccinated for these inputs.