Question

ind the probability of answering the two multiple choice questions correctly if random guesses are made. Assume the questions each have five choices for the answer. Only one of the choices is correct.a. 0.04 b. 0.4 c. 0.02 d. 0.004

Answer 1

Answer:  a. 0.04

Step-by-step explanation:

Given : Number of multiple choice questions  = 2

Choices given in each question = 5

Since only one choice is correct out of 5.

So, the probability of selecting the correct answer = $\dfrac{1}{5}$

Also, both questions are independent of each other.

It means , The probability of answering the two multiple choice questions correctly if random guesses are made

=( Probability of selecting the correct answer in question 1 ) x ( Probability of selecting the correct answer in question 2 )

= $\dfrac{1}{5}\times\dfrac{1}{5}= 0.04$

Hence, the required probability =0.04