Pasting the equation, the one below in between the quotes, into
https://www.wolframalpha.com/ is another way of finding the answer:
" p=33000, c=100, g=30, 100*(1-1(1-c/p)^g) //N "
p = population
c = carriers
g = group size
So in town with 33000 people, 100 carriers, and 30 people in a group you get a 9% chance at least one person is infected.
If you increase the number of attendees, even if there's the same number of overall carriers in town, the risk skyrockets. With g=100 the risk rises to 26%, with g=500 the risk rises to 78%.
The equation explains why large events were cancelled. If the entire USA only had 20,000 infected people (randomly distributed) then for a large event like a playoff game or the March Madness finals the odds become more than 99%:
" p=330000000, c=20000, g=100000, 100*(1-1(1-c/p)^g) //N "
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