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A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass, you...

A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass, you must answer at least 8 out of 12 questions correctly. What is the chance of this, if ;

a. You go into the exam without knowing a thing, and have to resort to Pure guessing?

b. You have studied enough so that on each question, 3 choices can be eliminated. But then you have to make a pure guess between the remaining 2 choices.

c. You have studied enough so that you know for sure the correct answer on 2 questions. For the remaining 10 questions you have to resort to pure guessing.

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