ework Question 3, 11.4.7 HW Score: 20\%, 2 of 10 points Part 1 of 2 Points: 0 of 1 Save A bag contains four batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select two 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 The slze of the sample space is $$ \square $$ sample points.

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**Step 1. Determine the number of choices for each selection**  
Since the batteries are selected with replacement, after the first battery is selected, it is returned to the bag. Thus, for each selection, there are 4 batteries available.

**Step 2. Apply the Counting Principle**  
For the first selection, there are 4 possibilities. For the second selection, there are again 4 possibilities because of replacement.  
Thus, by the counting principle, the total number of sample points is  
$$
4 \times 4 = 16.
$$

**Answer:**  
The size of the sample space is $$16$$ sample points.
The size of the sample space is 16 sample points.

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