Question

An algebra 2 test has 6 multiple choice questions with four
choices with one correct answer each. If we just randomly guess
on each of the 6 questions, what is the probability that you get
exactly 3 questions correct?

Answer 1

Answer:

1/64

Step-by-step explanation:

Each of the questions has 4 choices, making the chance to get the correct answer 1/4. So, to get 3 questions correct, you can use 1/4^3 to find the probability. So, the answer is 1/64.

Answer 2

The probability of exactly 3 questions are  correct is, $\frac{1}{64}$

Probability :

In test every question has four choices with one correct answer.

So that, the probability of one question is correct  $=\frac{1}{4}$

the probability of exactly 3 questions are  correct is,

                  $P(E)=\frac{1}{4}*\frac{1}{4}*\frac{1}{4}\\ \\ P(E)=\frac{1}{64}$

The probability of exactly 3 questions are  correct is, $\frac{1}{64}$

Learn more about the probability here:

https://brainly.com/question/25870256