Question

You open a bag of balloons. The package contains 12 balloons of the colors shown in the table. List the sample space for the bag of balloons. Is each color of balloon equally​ likely?  
Balloons in the Bag
Red
Blue
6
6
Question content area bottom
Part 1
The sample space for the balloons consists of the outcomes
▼
1 and 2
red and blue.
1, 2, 3, 4, 5, and 6

Answer 1

To create the sample space for the bag of balloons, we need to consider the possible outcomes when selecting a balloon from the bag. The bag contains two colors of balloons: red and blue. According to the information you provided, there are 6 red balloons and 6 blue balloons.

### Sample Space
The sample space (S) can be defined based on the colors of the balloons available. Therefore, the sample space consists of:

\[ S = \{ \text{Red}, \text{Blue} \} \]

### Question of Equally Likely Outcomes
To determine if each color of balloon is equally likely to be chosen, we look at the number of balloons of each color:

- Number of red balloons = 6
- Number of blue balloons = 6

Since the number of red balloons is equal to the number of blue balloons, the probability of selecting a balloon of either color is the same. Therefore, yes, each color of balloon is equally likely.

In summary:
- The sample space is: **{Red, Blue}**
- Each color is equally likely: **Yes.**