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.