Question

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. 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 5 questions, find the probability that he will answer all questions correctly? Round your answer to the nearest hundredth.

Answer 1

The easiest way to do this would be to use a binomial probability function table, with n = 5, x = 5, and p = 1/3 (convert the fraction to a decimal).
Look up those values in the table for your probability.