Ling is taking a quiz that consists of 3 multiple-choice questions, each having 3 answers. If she guesses on each question, what's the probability that Ling will get 100% on the quiz?

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31-03-2017
Mathematics

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Ling is taking a quiz that consists of 3 multiple-choice questions, each having 3 answers. If she guesses on each question, what's the probability that Ling will get 100% on the quiz?

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taskmasters taskmasters · Answer 1 · 2017-04-13T03:33:48+02:00

There are 3 ways in which you can answer each of the question in a 3 multiple-choice question. All in all, there are 27 ways in which Ling can answer the questions. Of these combinations, only one of which will give her a 100%. Thus,
probability = (1/27) x 100%
= 3.70%
Therefore, the probability that Ling will get 100% on the quiz is very lean with a value of only 3.70%.