Richard has been given a 5-question multiple-choice quiz in his history class. Each question has three 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 5 questions, find the probability that he will answer all questions correctly. Round your answer to the nearest thousandth.
A)0.004
B)0.333
C)0.500
D)0.067
E)0.600

Question

Quizplus · Accepted Answer

The probability of guessing one question correctly is 1/3 since there are three choices and only one correct answer. For 5 questions, the probability of guessing all correctly is (1/3)^5 = 1/243, which rounds to 0.004 when rounded to the nearest thousandth.

Richard Has Been Given a 5-Question Multiple-Choice Quiz in His