If a die is cast two times, then find the number of all possible outcomes .

Explanation

To find the number of all possible outcomes when a die is cast two times, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to determine the total number of outcomes when a single die is rolled twice.

2. **Identify Outcomes for One Roll**: When a single die is rolled, the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6. Therefore, there are 6 possible outcomes for one roll of the die.

3. **Calculate Outcomes for Two Rolls**: Since the die is rolled twice, we need to consider the outcomes of both rolls. The outcome of the first roll does not affect the outcome of the second roll. Therefore, the total number of outcomes can be calculated by multiplying the number of outcomes for the first roll by the number of outcomes for the second roll.

\[ \text{Total Outcomes} = \text{Outcomes for First Roll} \times \text{Outcomes for Second Roll} = 6 \times 6 \]

4. **Perform the Calculation**:

\[ \text{Total Outcomes} = 6 \times 6 = 36 \]

5. **Conclusion**: The total number of all possible outcomes when a die is cast two times is 36.

### Final Answer:
The number of all possible outcomes when a die is cast two times is **36**.

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