Final answer:
To find the sample space in the provided scenario of drawing cards, we need to list all possible color and number combinations. The sample space consists of {Green 1, Green 2, Green 3, Green 4, Green 5, Yellow 1, Yellow 2, Yellow 3}, encompassing eight unique outcomes.
Step-by-step explanation:
The student's question concerns the process of determining the sample space in a probability problem involving a deck of cards with different colors and numbers. The sample space is the set of all possible outcomes that can occur when a card is drawn at random. For the scenario presented, we must consider both the color and the number of each card to enumerate all possibilities.
To list the sample space, we note that there are five green cards with numbers 1 through 5 and three yellow cards with numbers 1 through 3. Therefore, the sample space, denoted by S, can be listed explicitly as follows:
- Green 1 (G1)
- Green 2 (G2)
- Green 3 (G3)
- Green 4 (G4)
- Green 5 (G5)
- Yellow 1 (Y1)
- Yellow 2 (Y2)
- Yellow 3 (Y3)
With eight unique cards, the sample space consists of eight possible outcomes when a single card is drawn.