Alexus is sending out thank you cards for birthday presents. She has pink (P), blue (B), and green (G) cards, and white (W) and yellow \( (\mathrm{Y}) \) 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 find the sample space for the possible combinations of cards and envelopes, we need to consider all the combinations of the card colors (P, B, G) and the envelope colors (W, Y). The possible cards are: - P (Pink) - B (Blue) - G (Green) The possible envelopes are: - W (White) - Y (Yellow) Now, we can create the combinations by pairing each card with each envelope: 1. PW (Pink card in a White envelope) 2. PY (Pink card in a Yellow envelope) 3. BW (Blue card in a White envelope) 4. BY (Blue card in a Yellow envelope) 5. GW (Green card in a White envelope) 6. GY (Green card in a Yellow envelope) Putting it all together, the sample space for the possible combinations is: PW, PY, BW, BY, GW, GY