Question

Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is

the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20

Answer 1

C, 5/64

Explanation:

To solve this problem, first find the ratio of green pencils to all pencils. There are 8 green pencils and 32 total pencils, meaning the ratio is 8:32. As a fraction, 8/32 can be simplified to 1/4.

Then, find the ratio of yellow pencils to all pencils. There are 10 yellow pencils and 32 total pencils, so the ratio is 10:32. As a fraction, 10/32 can be simplifies to 5/16.

Now, multiply 5/16 by 1/4 to get the chance of selecting a green pencil, putting it back, then selecting a yellow pencil.

5/16 * 1/4 = 5/64

Therefore, C is the correct answer.