Hello someone please help me asap, and show me exactly what todo!!

A class of 12 students take a multiple choice test consisting of 8 questions with answers from A to D. If every student guesses every answer, find the probability that less than 4 students pass. (A pass is 4 or more questions correct.)

I thought that the questions ranging from A – D has nothing todo with it, there is a population of 12, 8 questions so number of trials is 8, then the probability associated to this is 50% because you need 4 or more correct to pass, as 4 is half of 8 hence 50%. Firstly is hits correct, secondly what mathematical formulas will I need to solve this, and how?? Is it just a simple binomial, or is it a normal distributed thing, I don’t know

Thank you, much appreciated!!