When Julia is writing a first draft, there is 0.70.70, point, 7 probability that there will be no spelling mistakes on a page. One day, Julia writes a first draft that is 444 pages long. Assuming that Julia is equally likely to have a spelling mistake on each of the 444 pages, what is the probability that she will have no spelling mistakes on at least one of them? Round your answer to the nearest hundredth.
P(at least one without mistakes)=1−P(mistakes on all 4)
P(at least one without mistakes)
= 1−P(mistakes on all 4)
= 1-`(0.3)^4` = 1-0.0081 =0.9919
P(at least one without mistakes)≈0.99
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