I NEED HELP FAST WILL GIVE BRAINLIEST A quiz has 3 multiple-choice questions with 4 possible answer choices each. For each question, there is only 1 correct answer. A student chooses each answer at random. What is the probability that the student will answer all three questions correctly? 6.25%


0.01562%


1.5625%


15.625%

Respuesta :

Answer:

1.5625%

Step-by-step explanation:

P(correct) = 1/4

Since all the attempts are independent, probability of all three correct is:

¼ × ¼ × ¼

1/64

1/64 × 100

1.5625%

Answer:

0.01562%

Step-by-step explanation:

Since there are 3 questions with 4 answer choices, and only one is correct. You will need to multiply 1/4 three times to give you the answer if he got them all right.

[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]=[tex]\frac{1}{64}[/tex]

Divide this to find the percent, which is 0.01562%