Question

A cube is divided into 8 equal cubes. each of these cubes is further sub-divided into 8 equal cubes. if the original cube's sides are painted blue, then what is the probability that exactly 2 sides of a small cube are painted blue?

Answer 1

Total outcomes=64
possible outcomes=16
probability=possible outcomes/total outcomes
=16/64
=1/4
=0.25

Answer 2

The options for this question are missing: Here are the missing options:

a. 3/8  

b. 1/16  

c. 1/4  

d. 3/4  

e. 1/3

Answer:

Total cubes=64

Cube size=4*4*4

So n=4,

No. of cubes having 2 face blue= 12*(n-2),

This implies 12*(4-2)=24 cubes

So the probability= 24/64= 3/8

So the final answer is option A: 3/8

If there is any confusion please leave a comment below.