Example 3: Suppose your final exam in a statistics course is composed of 2 portions, one of which consists entirely of multiple choice questions. There are 8 questions in total and each question has 4 possible answers with only 1 correct answer out of the 4. Suppose that you were to randomly guess on all 8 questions. Consider this scenario as you answer the following questions. a) How many questions would you expect to get correct? b) What is the probability that you get exactly 2 questions correct? c) What is the probability that you get at least 3 questions correct?

You took a multiple-choice math test where there were 10 questions and each question had 4 answers to chose from (but only one of them was correct).  What is the probability that you get exactly 9 correct? Be sure to identify your variables.

An instructor gives his class a set of 12 problems with the information that the next quiz will consist of a random selection of 4 of them. If a student has figured out how to do 9 of the problems, what is the probability the he or she will answer correctly  (a) all 4 problems? 0.2545(b) at least 3 problems.