SOLUTION: On a 9 question multiple-choice test, where each question has 3 answers, what would the probability of getting at least 1 question wrong? Answer as a fraction

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Question 1182167: On a 9 question multiple-choice test, where each question has 3 answers, what would the probability of getting at least 1 question wrong?
Answer as a fraction

Answer by ikleyn(52799) About Me  (Show Source):
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On a 9 question multiple-choice test, where each question has 3 answers,
what would the probability of getting at least 1 question wrong?
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Since each question has 3 (three) optional answers, the probability to guess randomly a correct answer 

is  1%2F3  for each question.


For 9 questions, the probability to answer all 9 questions correctly, making random guess, is  %281%2F3%29%5E9 = 1%2F19683.


The probability of getting at least 1 question wrong is the COMPLEMENT to it 


    P = 1 - %281%2F3%29%5E9 = 1 - 1%2F19683 = 19682%2F19683.    ANSWER

Solved.