Probability of Passing via guessing

[fastrack]

What is the probability of passing a 30 question exam if each question
has 4 answer choices and you need to answer at least 15 questions
correctly to pass?

 

[APalley]

What is the probability of passing a 30 question exam if each question
has 4 answer choices and you need to answer at least 15 questions
correctly to pass?

0.00275

 

[Ethan Lim]

0.002749534164

 

[fastrack]

0.00275

Is it possible to solve this problem by hand, under say 4 minutes?

 

[APalley]

Is it possible to solve this problem by hand, under say 4 minutes?

You can approximate it using the CLT, probably in under a minute