Solved: Suppose that on a true/false exam you have no idea

Chapter 9, Problem 9.17

(choose chapter or problem)

Suppose that on a true/false exam you have no idea at all about the answers to three questions. You choose answers randomly and therefore have a 5050 chance of being correct on any one question. Let CCW indicate that you were correct on the rst two questions and wrong on the third, let WCW indicate that you were wrong on the rst and third questions and correct on the second, and so forth. a. List the elements in the sample space whose outcomes are all possible sequences of correct and incorrect responses on your part. b. Write each of the following events as a set and nd its probability: (i) The event that exactly one answer is correct. (ii) The event that at least two answers are correct. (iii) The event that no answer is correct.