Two dice are thrown at the same time . Find the probability of getting sum of the dice is 13 .

Answer

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

### Step 1: Understand the total outcomes
When two dice are thrown, each die has 6 faces. Therefore, the total number of outcomes when throwing two dice is:
\[ \text{Total outcomes} = 6 \times 6 = 36 \]

### Step 2: Determine the favorable outcomes
Next, we need to find the number of favorable outcomes where the sum of the two dice equals 13. The maximum sum that can be achieved with two dice is:
\[ 6 + 6 = 12 \]
Since the maximum possible sum is 12, it is impossible to get a sum of 13 with two dice.

### Step 3: Calculate the probability
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \]
In this case, the number of favorable outcomes (sum of 13) is 0, so we have:
\[ \text{Probability} = \frac{0}{36} = 0 \]

### Final Answer
Thus, the probability of getting a sum of 13 when two dice are thrown is:
\[ \boxed{0} \]

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