A test has 5 multiple-choice questions. Each question has 4 answer options (A, B, C, D). What is the probability that a student will choose “B” for at least three questions if
he/she leaves no questions blank?

A

$$\frac{1}{1024}$$

B

$$\frac{1}{64}$$

C

$$\frac{53}{512}$$

D

$$\frac{29}{128}$$