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

Respuesta :

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 [tex]\frac{1}{2}[/tex] since it only has 2 answers to choose from.

There are two multiple choice questions with 4 possible answers, which is equivalent to [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex]

From here, we form the equation:

[tex]\frac{1}{2} \\[/tex] × [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{32}[/tex]

Therefore, the answer is 1/32.