Chapter 9.2, Problem 4NAEP

National Assessment of Educational Progress (NAEP)

Ken has a box that contains $12$ marbles. The table below shows the number of marbles of each color that are in the box.

Color	Number of Marbles
Yellow	$5$
Green	$3$
Orange	$2$
Blue	$2$

Ken randomly select $2$ marbles from the box and keeps them. If Ken then randomly selects a third marble from the box, the probability that he will select a green marble is $\frac{2}{10}$. Which of the following statements could be true about the first $2$ marbles Ken selected?

a. One was yellow and one was green.

b. One was orange and one was yellow.

c. One was orange and one was blue.

d. Both were green.

e. Both were yellow.