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# A multiple-choice test has 5 questions each with 5 possible answers. What is the probability of guessing all the questions correctly?

**Solution:**

Given the probability of guessing the first question correctly = 1/5

Let P be the probability of guessing 5 questions correctly.

The probability of getting a correct guess is 1/5 and it is the same for every question.

P(getting first question correct) = 1/5

P(getting the first two questions correct)

= 1/5 × 1/5 = (1/5)^{2}

P(getting the first 3 questions correct) =(1/5)^{3}

P(getting the first 4 questions correct)= (1/5)^{4}

P(getting all questions correct)= (1/5)^{5}

P(getting all questions correct) = (1/5)^{5 }= (1/3125)

## A multiple-choice test has 5 questions each with 5 possible answers. What is the probability of guessing all the questions correctly?

**Summary:**

A multiple-choice test has 5 questions each with 5 possible answers, the probability of guessing all the questions correctly is 1/3125.

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