A pair of dice is rolled. What is the probability of getting a sum of 2?

Options

A. `1//6`
B. `1//3`
C. `1//36`
D. None of these

Answer

To find the probability of getting a sum of 2 when rolling a pair of dice, we can follow these steps:

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

### Step 2: Identify the favorable outcomes for getting a sum of 2.
To get a sum of 2, the only combination that can achieve this is:
- Die 1 shows 1 and Die 2 shows 1 (1 + 1 = 2).

Thus, there is only **1 favorable outcome**.

### Step 3: Use the probability formula.
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:
\[ P(\text{Sum of 2}) = \frac{1}{36} \]

### Final Answer:
The probability of getting a sum of 2 when rolling a pair of dice is:
\[ \frac{1}{36} \]

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