In a single throw of two dice, what is the probability of getting a total 13

Options

A. 0
B. 1
C. `(13)/(36)`
D. `(25)/(36)`

Answer

To solve the problem of finding the probability of getting a total of 13 when throwing two dice, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find the probability of the sum of the numbers on two dice being equal to 13.

2. **Identify Possible Outcomes**: Each die has 6 faces, numbered from 1 to 6. Therefore, when throwing two dice, the possible sums range from 2 (1+1) to 12 (6+6).

3. **Determine the Maximum Possible Sum**: The maximum sum we can get from two dice is 6 (from the first die) + 6 (from the second die) = 12.

4. **Check for Favorable Outcomes**: Since the maximum sum we can achieve is 12, it is impossible to get a sum of 13. Therefore, the number of favorable outcomes for getting a total of 13 is 0.

5. **Calculate Total Outcomes**: The total number of outcomes when throwing two dice is 6 (from the first die) × 6 (from the second die) = 36.

6. **Calculate the Probability**: The probability (P) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Substituting the values we found:
\[ P(\text{sum of 13}) = \frac{0}{36} = 0 \]

### Final Answer:
The probability of getting a total of 13 when throwing two dice is **0**.

---