A student takes a pop quiz that consists of three true-false problems. Each problem can be answered correctly (C) or incorrectly (I). Consider this to be a three-step process; i.e., answering the first problem with a C or an I, answering the second problem with a C or an I, and answering the third with a C or an I.
a) Identify each sample space outcome using the C and I designations.
b) What is the probability that the student gets all three problems correct?
c) What is the probability that the student gets exactly two problems correct?
d) What is the probability that the student gets at least two problems correct?