Math, help

I need help what formula would i use or what steps do i take?

A professor gives a test with 100 true-false questions. If 60 or more correct is necessary to pass, what is the probability that a student will pass by random guessing?



The brute force way of doing this is add up the probabilities of getting 60, 61, 62.. and up to 100 correct. The number will get very small when you get past 70, so you can forget about their contribution. The probability of getting 60 is
(1/2)^100* [100!/(60!*40!)] = 0.01084
You can also do it by computing the standard deviation of the distribution and using the error function integral from 60 to infinity


is there a website for this type of equation.

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