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Winning HQ Trivia requires the player to correctly answer 12 questions each consisting of 3 multiple choice answers. What is the formula for determining the probability of randomly answering all 12 questions correctly, assuming a .33 probability of answering each question correctly?

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  • $\begingroup$ $ {.33}^{12} $? $\endgroup$ – Mauve Dec 25 '17 at 1:30
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We have a probability of $\frac{1}{3}$ to answer each question correctly, so in total $p = \frac{1}{3^{12}}$

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