If you count even more rounds, that 5% extra of vaccination vastly reduces amount of potential infections. Just for fun, what if we add a round 3?Round 3Community A, 2 people contacts 20 people each at infection rate of 5%, so it’s now 4 total.Community B, 6 people contacts 20 people each at infection rate of 10%, so it’s 12 additional, for total of 18.Round 4Community A: 8 infectedCommunity B: 36 infections + 18 = 54Round 5Community A: 16 infectedCommunity B: 108+54 = 162 infected.Round 6Community A: 32 infectedCommunity B: 324+162 = 486That is Herd Immunity in action: when people vaccinate, even those who did not vaccinate are protected. Larger number of un vaccinated / vulnerable people means the disease spreads much faster in the community where just 5% less people got vaccinated.If you assume each community is 10000 people.In community A, un vaccinated count is about 500, so by round 6 you still have 468 people protected by herd immunity even though they were not vaccinated.
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