Which of the following can be the probability of an event?

Options

A. `-0.04`
B. `1.004`
C. `(18)/(23)`
D. `(8)/(7)`

Answer

To determine which of the given options can be the probability of an event, we need to understand the basic principles of probability.

### Step-by-Step Solution:

1. **Understanding Probability**:
- The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of outcomes.
- Mathematically, it is expressed as:
\[ P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

2. **Range of Probability**:
- The value of probability must always lie between 0 and 1, inclusive. This means:
\[ 0 \leq P(E) \leq 1 \]
- A probability of 0 indicates that the event cannot happen, while a probability of 1 indicates that the event is certain to happen.

3. **Analyzing the Options**:
- We will evaluate each option to see if it falls within the acceptable range of probability (0 to 1).

- **Option A**: A negative value (e.g., -0.5)
- This is not possible as probabilities cannot be negative.

- **Option B**: A value greater than 1 (e.g., 1.001)
- This is also not possible as probabilities cannot exceed 1.

- **Option C**: A fraction less than 1 (e.g., \( \frac{18}{23} \))
- This is valid because \( \frac{18}{23} \) is approximately 0.782, which is between 0 and 1.

- **Option D**: A fraction greater than 1 (e.g., \( \frac{8}{7} \))
- This is not valid as \( \frac{8}{7} \) is approximately 1.143, which exceeds 1.

4. **Conclusion**:
- After evaluating all options, the only valid probability is from Option C, which is \( \frac{18}{23} \).

### Final Answer:
- The probability of an event can be \( \frac{18}{23} \) (Option C).