In a single throw of two dice , what is the probability of
a total of 11

Answer

To find the probability of getting a total of 11 when throwing two dice, we can follow these steps:

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

### Step 2: Identify the favorable outcomes for a total of 11
Next, we need to find the combinations of the two dice that sum up to 11. The possible pairs that give a total of 11 are:
- (5, 6)
- (6, 5)

Thus, there are 2 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:
\[ \text{Probability} = \frac{2}{36} = \frac{1}{18} \]

### Final Answer
The probability of getting a total of 11 when throwing two dice is:
\[ \frac{1}{18} \]

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