A box contains 36 pink, 18 blue, 9 green, 6 red, and 3 purple cubes that are identical in size. If a cube is selected at random, what is the probability that it is green?
(A) $\frac{1}{9}$
(B) $\frac{1}{8}$
(C) $\frac{1}{5}$
(D) $\frac{1}{4}$
(E) $\frac{9}{70}$
A box contains 36 pink, 18 blue, 9 green, 6 red, and 3 purple cubes that are identical in size. If a cube
is selected at random, what is the probability that it is green?
(A) $\frac{1}{9}$
(B) $\frac{1}{8}$
(C) $\frac{1}{5}$
(D) $\frac{1}{4}$
(E) $\frac{9}{70}$

## Solution

In total there are 72 cubes that have the same size.

Since there are 9 green cubes, the probability of selecting a green cube is $\frac{9}{72}$ or $\frac{1}{8}$.

ANSWER: (B)