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# I am part of a number theory course and am quite stumped one question heres the question suppose that a

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t know how to put it together.
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lity... "As part of a probability experiment, Elliott is to answer 4 multiple-choice questions. For each question, there are 3 possible answers, only 1 of which is correct. If Elliott randomly and independently answers each question, what is the probability that he will answer the 4 questions correctly?" Solving the question I keep getting 1/256. My reasoning is that each question has a 1/4 chance of being right if you guessed, so 1/4 x 1/4 x 1/4 x 1/4 = 1/256. But my answer choices are as follows, with the correct answer being E: A. 27/81 B. 12/81 C. 4/81 D. 3/81 E. 1/81 Am I missing something? Or am I just completely solving this wrong?
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I have attached a set of lecture notes i would like to go through (upto part 3 only) and a few questions to possibly go over as well. I am a second year EEE student.
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