Probability of passing this multiple choice exam 
*

*A multiple choice exam has 175 questions. 

*Each question has 4 possible answers. 

*Only 1 answer out of the 4 possible answers is correct. 

*The pass rate for the exam is 70% (123 questions must be answered correctly). 

*We know for a fact that 100 questions were answered correctly. 


Questions: What is the probability of passing the exam, if one were to guess on the remaining 75 questions? That is, pick at random one of the 4 answers for each of the 75 questions. 

Hint : Use the formula for binomial distributed random variables.
