Question

Jonathan has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which outcomes would be included in the sample space for Jonathan’s experiment? Select three options.
yy
gr
gg
rg
yr

Answer 1

In Jonathan's experiment, he has one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble, then without replacing it, he chooses a second marble.

Given that there is only one marble of each color, the possible outcomes for choosing two marbles are as follows:

1. Red then Yellow (ry)
2. Red then Green (rg)
3. Yellow then Red (yr)
4. Yellow then Green (yg)
5. Green then Red (gr)
6. Green then Yellow (gy)

Outcomes like "yy", "gg", or other double colors (like "rr") are not possible because there is only one marble of each color.

The options provided that are part of the sample space are:

- **gr** (green then red)
- **rg** (red then green)
- **yr** (yellow then red)

So, the three correct options to select from the provided outcomes are **gr, rg, and yr**.