12.7k views
5 votes
A bag contains five ​batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select three batteries at​ random, use the counting principle to determine how many points will be in the sample space if the batteries are selected

​a) with replacement. ____?
​b) without replacement.____?

User Micheline
by
8.3k points

1 Answer

1 vote

Answer:

A. 1/125 or 0.8%

B. 1/60 or 1.7%

Explanation:

1. Let's review the information provided to us to answer the questions correctly:

Number of batteries in the sample = 5

2. If you select three batteries at​ random, use the counting principle to determine how many points will be in the sample space if the batteries are selected

​A) with replacement. ____?

​B) without replacement.____?

A . With replacement

First selection = 1/5

Second selection = 1/5

Third selection = 1/5

Probability of selecting three random batteries with replacement = 1/5 * 1/5 * 1/5 = 1/125 or 0.8%

B. Without replacement

First selection = 1/5

Second selection = 1/4

Third selection = 1/3

Probability of selecting three random batteries without replacement = 1/5 * 1/4 * 1/3 = 1/60 or 1.7% (Rounding to the next tenth)

User Ashildr
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories