SOLUTION: in a ten question multiple-choice test with 4 choices for each question, a student who is not prepared guesses on each item. find the probability that they get 6 correct

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Question 308188: in a ten question multiple-choice test with 4 choices for each question, a student who is not prepared guesses on each item. find the probability that they get 6 correct
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let c=correct answers and w=wrong answers
c=.25 and w=.75 for each question.
Expand: (c+w)^10
For 6 correct the coefficient is nCr=10C6=210
210c^6w^4
=210*.25^6*.75^4
=.0162 Probability of exactly 6 correct guesses on a 10 question multiple choice test.
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Ed