To find the sample space of the marble selection from the bag, we need to list all possible outcomes based on the number and types of marbles present.
The bag contains:
- 2 yellow marbles (Y)
- 1 green marble (G)
- 3 red marbles (R)
- 3 blue marbles (B)
The total outcomes are made by considering each colored marble as a unique outcome. Therefore, the sample space is:
- 2 yellow: Y, Y
- 1 green: G
- 3 red: R, R, R
- 3 blue: B, B, B
When we list all the marbles, we get:
- Y, Y, G, R, R, R, B, B, B
The correct representation of the sample space is: {Y, Y, G, R, R, R, B, B, B}
Thus, the correct answer is: {Y, Y, G, R, R, R, B, B, B}