Answer to Question #125111 in Statistics and Probability for Ashley

Question

A multiple choice test has 5 questions with 3 choices each. How many ways are there to answer the test? What is the probability that all answers are the same (e.g. 1, 1, 1, 1, 1)?

Answer 1

ways to answer:

n=3⁵=243

probability that all answers are the same - we have 3 options in each answer,so:

P=(1/3)⁵+(1/3)⁵+(1/3)⁵=0.0123