Two dice are thrown at the same time . Find the probability of getting sum dice is 8 .

Answer

To find the probability of getting a sum of 8 when two dice are thrown, we can follow these steps:

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

### Step 2: Identify the favorable outcomes for a sum of 8
Next, we need to find all the combinations of the two dice that result in a sum of 8. The pairs that give a sum of 8 are:
- (2, 6)
- (3, 5)
- (4, 4)
- (5, 3)
- (6, 2)

Counting these pairs, we find that there are 5 favorable outcomes.

### Step 3: Calculate the probability
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \]
Substituting the values we found:
\[ \text{Probability} = \frac{5}{36} \]

### Final Answer
Thus, the probability of getting a sum of 8 when two dice are thrown is:
\[ \frac{5}{36} \]

---