Answered

Select the correct answer.
Dorothy is wrapping a gift for a friend. Her choices for wrapping paper designs include stars (S), flowers (F), or hearts (H). She will also
choose a red (R), blue (B), or gold (G) bow to place on top.
Which of the following represents the sample space for her choice of one wrapping paper and one bow?
(SR, SB, SG, FR, FB, FG, HR, HB, HG)
о
{RS, RF, BF, BH, GH, GS}
о
(S, F, H, R, B, G)
O
(GS, GF, FS, FR, HB, HG, BR, BS, SH}



Answer :

GinnyAnswer
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)

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