Question

I need help understanding some fairly simple probability calculations.

Suppose a virus transmission in 500 interactions are mutually independent events and that the probability of transmission in one interaction is 1/500. What is the probability of infection?

At this point the book says, it's easier to calculate the complement of the event(infection) and we do the following:

event(no infection) = (1 - 1/500)^500 = 0.37

This is all fine, but how would we go about calculating the probability of the actual event?

even(infection) = (1/500)^500 doesn't equal 0.63 so this is not the way.

Answer 1