Question 755471
Exhibit 4. A very short quiz has two multiple choice questions with first question having five possible choices and the second having four possible choices. Assume you are taking the quiz but do not have any idea what the correct answer is to either question, but you mark an answer anyway. Answer questions 43-45 based on this information.
43. What is the probability that you have given the correct answer to both questions?

probability = {{{(1/5)(1/4)}}} = {{{1/20}}} = {{{highlight(0.05)}}}

44. What is the probability that one, but not both, of the two answers is correct?

probability = {{{(1/5)(3/4) + (4/5)(1/4)}}} = {{{7/20}}} = {{{highlight(0.35)}}}

45. What is the probability that neither answer is correct?

probability = {{{(4/5)(3/4)}}} = {{{3/5}}} = {{{highlight(0.60)}}}