144k views
5 votes
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

2 Answers

4 votes

Answer:

Actually, the correct answer is 1/32.

Explanation:

There is one true/false question, so it equals
(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
(1)/(4) ×
(1)/(4)

From here, we form the equation:


(1)/(2) \\ ×
(1)/(4) ×
(1)/(4) =
(1)/(32)

Therefore, the answer is 1/32.

User Infaz
by
8.4k points
2 votes
3/10 because there is  true false question which is only 2 option. Than 2 multiple choice which would be 8 8+2=10
User Antiqe
by
7.9k points

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