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

Answer

To find the probability of rolling two aces (which means both dice show a 1) in a single throw of two dice, we can follow these steps:

### Step 1: Determine the Sample Space
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: Identify Favorable Outcomes
Next, we need to find the number of favorable outcomes for the event of rolling two aces (both dice showing a 1). There is only one combination that results in this outcome:
- (1, 1)

Thus, the number of favorable outcomes is:
\[ \text{Favorable Outcomes} = 1 \]

### Step 3: Calculate the Probability
The probability \( P \) of an event is given by the formula:
\[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \]
Substituting the values we found:
\[ P(\text{Two Aces}) = \frac{1}{36} \]

### Final Answer
The probability of rolling two aces in a single throw of two dice is:
\[ \frac{1}{36} \]

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