Question 1025900
 
Question:
What is the probability of guessing 2 multiple choice questions correctly if each question has 5 possible answer choices. Write your answer as a decimal.
 
Solution:
Each question has a probability of p=1/5=0.2 correct, assuming the answers are randomly chosen.
A two-step experiment each with probability of p will succeed both steps with a probability of p*p by the multiplication rule.
So guessing correctly both questions in a two-question multiple choice test has a probability of (1/5)*(1/5).
 
I will leave it to you to press the buttons of the calculator and convert the answer to a decimal.