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# Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 3 possible answers?

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#### Explanation

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#### Explanation:

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1
Jun 19, 2018

${\left(\frac{1}{3}\right)}^{5} = \frac{1}{243} \approx 0.0041$

#### Explanation:

The probability of getting any of the questions correct is $\frac{1}{3}$. This means that getting all 5 of the questions correct is:

$\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = {\left(\frac{1}{3}\right)}^{5} = \frac{1}{243} \approx 0.0041$

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