A bag contains five batteries, all of which are the same size and are equally likely to be selected. Each battery is a differen
t 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.____?
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)
