Question

A pencil bag contains 20 red pencils. 12 pencils, and 10 green pencil, Carrie randomly selects a red pencil followed by a green pencil without replacement.

What is the probability that Carrie selects a red pencil followed by a green pencil?

Write the answer as a percent rounded to the nearest tenth of a percent.

Answer 1

11.6%

Explanation:

On the first selection, there are 20 red pencils out of 42 total pencils.

On the second selection, there are 10 green pencils out of 41 pencils left over.

So the probability is:

(20/42) (10/41)

100/861

≈11.6%