Question

A cube having all of its sides painted is cut by two horizontal, two vertical and other two places so as to form 27 cubes all having the same dimensions. Of these cubes, a cube is selected at random.
The probability that the cube selected has none of its sides painted is

• A. $\frac{1}{9}$
• B. $\frac{1}{27}$
• C. $\frac{1}{18}$
• D. $\frac{5}{54}$

Answer 1

Answer: (B)

Correct answer is (b) $\frac{1}{27}$