each question of a 5 mutiple choice exam has 3 possible answers.suppose a student picks an answer at random for each question. Find the probablity the student selects the correct answer on only the 1st question?

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each question of a 5 mutiple choice exam has 3 possible answers.suppose a student picks an answer at random for each question. Find the probablity the student selects the correct answer on only the 1st question?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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probability of picking correct answer is 1/3 so prob of picking wrong answer is 2/3 each question is an independent event to get #1 right and the rest wrong looks like this 1/3 * 2/3 * 2/3 *2/3 *2/3 =1/3 * (2/3)^4 =1/3 * 16/81 =16/243

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