SOLUTION: A multiple choice test has 10 questions. Each question has four answer choices. a. What is the probability a student randomly guesses the answers and gets exactly six questions c

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Question 1079069: A multiple choice test has 10 questions. Each question has four answer choices.
a. What is the probability a student randomly guesses the answers and gets exactly six questions correct?
b. Is getting exactly 10 questions correct the same probability as getting exactly zero correct? Explain.
c. Describe the steps needed to calculate the probability of getting at least six questions correct if the student randomly guesses.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
For 6 questions, it is 10C6, the number of ways it can happen (210)*0.25^6*0.75^4, and this is 0.0162
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To get 10 questions correct randomly guessing is 0.75^10.
To get 10 questions incorrect randomly guessing is 0.25^10. They are different.

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