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(52802)   (Show Source): You can put this solution on YOUR website!
.
On a 9 question multiple-choice test, where each question has 3 answers,
what would the probability of getting at least 1 question wrong?
~~~~~~~~~~~~~~~~~~~~ 


Since each question has 3 (three) optional answers, the probability to guess randomly a correct answer 

is    for each question.


For 9 questions, the probability to answer all 9 questions correctly, making random guess, is   = .


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


    P = 1 -  = 1 -  = .    ANSWER

Solved.



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