A die is rolled. List the outcomes of the event A if:
A is the event that a composite number appears.

Answer

To solve the problem of listing the outcomes of the event A, where A is the event that a composite number appears when a die is rolled, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the possible outcomes when rolling a die**:
- When a standard die is rolled, the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6.

2. **Define what a composite number is**:
- A composite number is a positive integer that has at least one positive divisor other than one or itself. In simpler terms, it means that a composite number has more than two factors.

3. **List the numbers from the die and identify which are composite**:
- The numbers on the die are: 1, 2, 3, 4, 5, 6.
- Now, we need to determine which of these numbers are composite:
- 1: Neither prime nor composite.
- 2: Prime (only factors are 1 and 2).
- 3: Prime (only factors are 1 and 3).
- 4: Composite (factors are 1, 2, and 4).
- 5: Prime (only factors are 1 and 5).
- 6: Composite (factors are 1, 2, 3, and 6).

4. **List the composite numbers**:
- From the analysis above, the composite numbers from the outcomes are 4 and 6.

5. **State the outcomes of event A**:
- Therefore, the outcomes of the event A (where a composite number appears) are {4, 6}.

### Final Answer:
The outcomes of the event A are: **{4, 6}**.

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