Final answer:
The sample space for drawing one card from a set of eight cards (five green numbered 1-5 and three yellow numbered 1-3) includes eight possibilities: G1, G2, G3, G4, G5, Y1, Y2, and Y3.
Step-by-step explanation:
The student's question pertains to listing the sample space when drawing a card from a well-shuffled set that includes five green cards numbered 1 through 5 and three yellow cards numbered 1 through 3. The sample space represents all possible outcomes that can occur when an event takes place, in this case, drawing one card from the set.
Listing the Sample Space
To list the sample space, we need to consider each card as a unique outcome since each card has a specific color and number. Therefore, the sample space (S) for drawing one card from the shuffled set is:
- Green cards: G1, G2, G3, G4, G5
- Yellow cards: Y1, Y2, Y3
Where 'G' denotes a green card and 'Y' denotes a yellow card, followed by the number on the card. In total, there are eight distinct possibilities for what the drawn card could be.