Describe the sample space of this experiment :
(i) One die is rolled.

Answer

To describe the sample space of the experiment where one die is rolled, we need to identify all the possible outcomes that can occur when the die is rolled.

### Step-by-Step Solution:

1. **Understand the Experiment**: The experiment involves rolling a single six-sided die. A standard die has faces numbered from 1 to 6.

2. **Identify Possible Outcomes**: When the die is rolled, it can land on any one of its six faces. The possible outcomes are the numbers on these faces.

3. **List the Outcomes**: The outcomes when rolling one die are:
- 1
- 2
- 3
- 4
- 5
- 6

4. **Formulate the Sample Space**: The sample space (denoted as S) is the set of all possible outcomes. Therefore, we can write the sample space as:
\[ S = \{1, 2, 3, 4, 5, 6\} \]

### Final Answer:
The sample space of the experiment when one die is rolled is:
\[ S = \{1, 2, 3, 4, 5, 6\} \]