Probability of getting 5 multiple-choice questions answered correctly What is the probability of getting 5 multiple-choice questions answered correctly, if for each question the probability of answering it correctly is 1/3.
The answer is 45/118, but I am unsure of how.
Update: The book may have had the question worded incorrectly, because the answer stated is incorrect.
What i know: Each question has 3 selections, and the probability of getting one wrong is 2/3. I thought it would be as simple as the multiplicative rule, but there's more to it apparently. I think it has to do with a formula as you go along in the questions, but it states that each probability is equal, as a 1/3 chance.
Any suggestions?

A simple bit of logic can quickly prove that 45/118 is incorrect. The chance of guessing one answer on its own is 1/3.  45/118 is slightly more than 1/3 which means that guessing all 5 correctly is more probable than guessing only one correctly. This is obviously untrue as guessing each additional answer is increasingly less likely.
