Find the probability of getting an even number when one die is tossed.

Answer

To find the probability of getting an even number when one die is tossed, we can follow these steps:

### Step 1: Identify the Sample Space
When one die is tossed, the possible outcomes (sample space) are:
\[ S = \{1, 2, 3, 4, 5, 6\} \]

### Step 2: Identify the Favorable Outcomes
Next, we need to identify the even numbers in the sample space. The even numbers from the outcomes are:
\[ \{2, 4, 6\} \]

### Step 3: Count the Total Outcomes and Favorable Outcomes
- Total outcomes in the sample space = 6 (since there are 6 faces on a die)
- Favorable outcomes (even numbers) = 3 (which are 2, 4, and 6)

### Step 4: Calculate the Probability
The probability \( P \) of an event is given by the formula:
\[ P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we found:
\[ P(\text{even number}) = \frac{3}{6} = \frac{1}{2} \]

### Conclusion
The probability of getting an even number when one die is tossed is:
\[ \frac{1}{2} \]

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