A multiple choice test contains questions with four options each: A, B, C, or D. If

Natalie randomly guesses on the last three

questions, what is the probability that she

gets all three correct?

Probability of getting all three correct answer =  

Step-by-step explanation:

Given - A multiple choice test contains questions  with four options each: A, B, C, or D. If  Natalie randomly guesses on the last three  questions.

To find - what is the probability that she  gets all three correct.

Proof -

Given that,  question has 4 options.

And 1 option can be correct,

Let

x be that Natalie gives correct answer.

So,

Probability of getting, correct answer, P(x) =

So,

Probability of getting, incorrect answer, P(x') = 1 -   =

Now,

Given that, she guess the 3 questions.

All correct means,

first, second, third question answer is correct.

So,

Probability of getting all three correct answer = ×× =