# Chapter 4 - Probability - 4-4 Multiplication Rule: Basics - Basic Skills and Concepts: 25

0.00045, very unlikely.

#### Work Step by Step

Events are dependent, if the outcome of one effects the outcome of the other. Here the events are dependent, because sampling was done without replacement. $P(A \cap B \cap C)=P(A)\cdot P(B|A)\cdot P(C|(A \cap B))$. Hence $P(A \cap B \cap C)=\frac{24}{300}\cdot\frac{23}{299}\cdot\frac{22}{298}=0.00045.$ Hence it is very unlikely.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.