Find the probability of answering the two multiple choice questions correctly.

Question

If random guesses are made. Assume the questions each have five choices for the answer. Only one of the choices is correct.

The answer is: 0.04

How is it worked out?

Answer 1

Step 1:

Total number of questions to be answered is .

Number of choices to be made for correct answer is .

Let  be the probability of selecting correct answers.

Probability of selecting correct answer from each question is

Let  be the probability of correctly answering four questions.

Probability of answering questions is

Solution:

The probability of correctly answering four questions is .