Isabella is sending out holiday greeting cards. She has gold (G), and red (R) cards, and blue (B), white (W), and grey (G) envelopes to send them in. She chooses a card and an envelope at random for each person. What is the sample space for possible combinations?

Enter each outcome as a two-letter "word", with the first letter for the card and the second letter for the envelope. For example, PW would be a pink card in a white envelope. Separate each element by a comma.

To determine the sample space for Isabella's holiday greeting card combinations, we need to consider all possible pairs of cards and envelopes.

Isabella has the following cards:
- Gold (G)
- Red (R)

She has the following envelopes:
- Blue (B)
- White (W)
- Grey (G)

Each card can be paired with each envelope, so we can list all possible combinations.

Let's list each card with each possible envelope:

1. Gold card with a Blue envelope (GB)
2. Gold card with a White envelope (GW)
3. Gold card with a Grey envelope (GG)
4. Red card with a Blue envelope (RB)
5. Red card with a White envelope (RW)
6. Red card with a Grey envelope (RG)

The sample space, which includes all possible outcomes, can be written as:

**GB, GW, GG, RB, RW, RG**

If you have any further questions or need details on how the sample space was derived, feel free to ask.

Here are 8 related questions you might find interesting:

1. What is the probability of choosing a Gold card and a Blue envelope?
2. What is the probability of choosing a Red card and a White envelope?
3. How many possible combinations are there if Isabella adds a Silver (S) envelope to her collection?
4. What is the probability of selecting a card with a Grey envelope?
5. If Isabella decides to only use Red cards, what is the new sample space?
6. How would the sample space change if Isabella adds a Green (G) card?
7. What is the probability of selecting a card and envelope that are the same color (both G)?
8. If Isabella had 3 cards and 4 envelopes, how many possible combinations would there be?

**Tip:** When determining a sample space, make sure to list all possible outcomes systematically to ensure none are missed.

Explore the sample space for Isabella's holiday greeting card combinations, involving gold and red cards with blue, white, and grey envelopes. Understand the probability of different card-envelope pairings. Suitable for students in Grades 4-6.

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