Probability of getting 6 in a single throw of a die is

Options

A. 1
B. 0
C. `(1)/(6)`
D. None of these

Answer

To find the probability of getting a 6 in a single throw of a die, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Outcomes**:
A standard die has 6 faces, numbered from 1 to 6. Therefore, the total number of possible outcomes when throwing a die is 6.
\[ N(S) = 6 \]

2. **Identify the Favorable Outcomes**:
We want to find the probability of getting a 6. There is only one face with the number 6 on it. Thus, the number of favorable outcomes is 1.
\[ N(A) = 1 \]

3. **Use the Probability Formula**:
The probability of an event is calculated using the formula:
\[ P(E) = \frac{N(A)}{N(S)} \]
where \( N(A) \) is the number of favorable outcomes and \( N(S) \) is the total number of possible outcomes.

4. **Substitute the Values**:
Now, substituting the values we found into the formula:
\[ P(E) = \frac{N(A)}{N(S)} = \frac{1}{6} \]

5. **Conclusion**:
Therefore, the probability of getting a 6 in a single throw of a die is:
\[ P(E) = \frac{1}{6} \]