Answer:
[tex]\frac{9}{16384}[/tex]
Step-by-step explanation:
I presumed this question is referring to the probability of getting 5 questions right and 2 wrong.
Since each question is independent of each other, you just have to multiply the probability of getting a question right 5 times then multiply that by the probability of getting the last questions wrong twice.
The probability of a correct answer is [tex]\frac{1}{4}[/tex]
The probability of a wrong answer is [tex]\frac{3}{4}[/tex]
So the probability of getting just 5 right is...
[tex]\frac{1}{4}[/tex]*[tex]\frac{1}{4}[/tex]*[tex]\frac{1}{4}[/tex]*[tex]\frac{1}{4}[/tex]*[tex]\frac{1}{4}[/tex]*[tex]\frac{3}{4}[/tex]*[tex]\frac{3}{4}[/tex]=[tex]\frac{9}{16384}[/tex]
