Richard has been given a 7-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 7 questions, find the probability that he will answer all questions incorrectly. Round your answer to the nearest thousandth.
A)0.750
B)0.500
C)0.540
D)0.133
E)0.857

Question

Quizplus · Accepted Answer

The probability of getting one question wrong is 3/4, since there is only one correct answer out of four options. Therefore, the probability of getting all 7 questions wrong is (3/4)^7, which is approximately 0.133 when rounded to the nearest thousandth.

Richard Has Been Given a 7-Question Multiple-Choice Quiz in His