SOLUTION: A multiple choice test has 30 questions. Each question has five possible answers, of which one is correct. If a student guesses on every question, find the probability of getting e

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Question 62856: A multiple choice test has 30 questions. Each question has five possible answers, of which one is correct. If a student guesses on every question, find the probability of getting exactly 12 correct.
Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
A multiple choice test has 30 questions. Each question has five possible answers, of which one is correct. If a student guesses on every question, find the probability of getting exactly 12 correct.
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P(correct answer)=1/5 = 0.2
Your problem is binomial with n=30, p=0.2, X=12
Prob(X=12)=30C12(0.02)^12*(.08)^18=0.006
Cheers,
Stan H.