Richard has been given an 11-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is unable to answer a question correctly. Assuming that Richard guesses on all 11 questions, find the probability that he will answer all questions incorrectly. Round your answer to the nearest thousandth.
A)0.800
B)0.086
C)0.621
D)0.909
E)0.500

Question

Quizplus · Accepted Answer

The probability of answering one question incorrectly is 4/5. Since there are 11 questions, the probability of answering all 11 questions incorrectly is (4/5)^11, which is approximately 0.086. Therefore, the best choice is B.

Richard Has Been Given an 11-Question Multiple-Choice Quiz in His