Question

Find the indicated probability. Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 3 possible answers. 0 os WIN101N

Answer 1

In the above question we have to find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.

That is,

The chance of correctly answering a question is 1:3 = 1/3

We have to find the probability of correctly answering the first 2 questions on a multiple choice test

Here, the answering the first 2 questions on a multiple choice test are independent with each other.

Therefore,

The probability of correctly answering the first 2 questions on a multiple choice test are as below

$=\frac{1}{3}*\frac{1}{3}$

$=\frac{1}{9}$

So, the probability of correctly answering the first 2 questions on a multiple choice test are 1/9

Answer :-  $=\frac{1}{9}$

Summary :-

The probability of correctly answering the first 2 questions on a multiple choice test are 1/9

Answer :-  $=\frac{1}{9}$