Which of the following cannot be a probability of happening of an event ?

Options

A. 0
B. Less than 0
C. More than 0 but less than 1
D. 1

Answer

To determine which of the following cannot be a probability of happening of an event, we need to understand the fundamental properties of probability.

### Step-by-Step Solution:

1. **Understanding Probability Range**:
- The probability of any event must always lie between 0 and 1. This means:
- The minimum probability is 0 (event does not happen).
- The maximum probability is 1 (event is certain to happen).

2. **Identifying Valid Probabilities**:
- Any probability value must satisfy the condition:
- \( 0 \leq P(E) \leq 1 \)
- This means that probabilities can be:
- 0 (event does not occur)
- Any positive value (event has a chance of occurring)
- 1 (event is certain to occur)

3. **Analyzing Given Options**:
- If we are given multiple options (let's say 0.5, -0.3, 1.2, and 0), we need to evaluate each:
- 0.5: This is a valid probability (between 0 and 1).
- -0.3: This is NOT a valid probability (less than 0).
- 1.2: This is NOT a valid probability (greater than 1).
- 0: This is a valid probability (exactly 0).

4. **Conclusion**:
- From the analysis, any value that is less than 0 or greater than 1 cannot be a probability of an event. Therefore, the answer will include any such values.

### Final Answer:
- The values that cannot be a probability of happening of an event are those that are less than 0 or greater than 1.