Question: A test consists of 5 multiple choice questions, the first 3 questions have 5 answers the last 2 questions have 4 answers. Only 1 answer is correct for each question. If a student guesses (chooses at random) the answer for each question.

a. In how many different ways can the test be answered?

b. What is the probability that they get all 5 questions wrong?

c. What is the probability that they get all 5 questions correct?

d. What is the probability they only get the 3^rd questions correct?

e. What is the probability they get the 3^rd or the 4^th question correct?