Answer :
To determine the sample space for Dorothy’s choice of wrapping paper and bow, we need to consider all possible combinations of one wrapping paper and one bow.
1. Dorothy has 3 choices for wrapping paper designs:
- Stars (S)
- Flowers (F)
- Hearts (H)
2. Dorothy also has 3 choices for bow colors:
- Red (R)
- Blue (B)
- Gold (G)
To list all possible combinations of one wrapping paper with one bow, we can pair each wrapping paper with each bow color:
- For the Stars (S) wrapping paper, the combinations are:
- Stars with Red bow (SR)
- Stars with Blue bow (SB)
- Stars with Gold bow (SG)
- For the Flowers (F) wrapping paper, the combinations are:
- Flowers with Red bow (FR)
- Flowers with Blue bow (FB)
- Flowers with Gold bow (FG)
- For the Hearts (H) wrapping paper, the combinations are:
- Hearts with Red bow (HR)
- Hearts with Blue bow (HB)
- Hearts with Gold bow (HG)
Thus, combining these, the sample space will be:
(SR, SB, SG, FR, FB, FG, HR, HB, HG)
Therefore, the correct answer is:
(SR, SB, SG, FR, FB, FG, HR, HB, HG)
1. Dorothy has 3 choices for wrapping paper designs:
- Stars (S)
- Flowers (F)
- Hearts (H)
2. Dorothy also has 3 choices for bow colors:
- Red (R)
- Blue (B)
- Gold (G)
To list all possible combinations of one wrapping paper with one bow, we can pair each wrapping paper with each bow color:
- For the Stars (S) wrapping paper, the combinations are:
- Stars with Red bow (SR)
- Stars with Blue bow (SB)
- Stars with Gold bow (SG)
- For the Flowers (F) wrapping paper, the combinations are:
- Flowers with Red bow (FR)
- Flowers with Blue bow (FB)
- Flowers with Gold bow (FG)
- For the Hearts (H) wrapping paper, the combinations are:
- Hearts with Red bow (HR)
- Hearts with Blue bow (HB)
- Hearts with Gold bow (HG)
Thus, combining these, the sample space will be:
(SR, SB, SG, FR, FB, FG, HR, HB, HG)
Therefore, the correct answer is:
(SR, SB, SG, FR, FB, FG, HR, HB, HG)