SOLUTION: What is the probability of guessing 2 multiple choice questions correct if each question has 5 possible answer choices. Write your answer as a decimal

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Question 1025900: What is the probability of guessing 2 multiple choice questions correct if each question has 5 possible answer choices. Write your answer as a decimal
Answer by mathmate(429) About Me  (Show Source):
You can put this solution on YOUR website!

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.