Question: You are trying to answer a multiple-choice question on a standardized test. There are three choices. If you get the question right, you gain one

You are trying to answer a multiple-choice question on a standardized test. There are three choices. If you get the question right, you gain one point, and if you get it wrong, you lose1/2 point. Assume you have no idea what the right answer is, so you pick one of the choices at random. What is the expected value of the number of points you get?

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