A quiz has 1 true-false question and 2 multiple choice questions that each have 4 answers. What is the probability that someone guessing all 3 answers will get 100% on the quiz?


1/32

1/27

3/10

Verified Answer :

3/10 because there is  true false question which is only 2 option. Than 2 multiple choice which would be 8 8+2=10

Answer:

Actually, the correct answer is 1/32.

Step-by-step explanation:

There is one true/false question, so it equals \(\frac{1}{2}\) since it only has 2 answers to choose from.

There are two multiple choice questions with 4 possible answers, which is equivalent to \(\frac{1}{4}\) × \(\frac{1}{4}\)

From here, we form the equation:

\(\frac{1}{2} \\\) × \(\frac{1}{4}\) × \(\frac{1}{4}\) = \(\frac{1}{32}\)

Therefore, the answer is 1/32.