Question 1182167
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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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<pre>
Since each question has 3 (three) optional answers, the probability to guess randomly a correct answer 

is  {{{1/3}}}  for each question.


For 9 questions, the probability to answer all 9 questions correctly, making random guess, is  {{{(1/3)^9}}} = {{{1/19683}}}.


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


    P = 1 - {{{(1/3)^9}}} = 1 - {{{1/19683}}} = {{{19682/19683}}}.    <U>ANSWER</U>
</pre>

Solved.