Can the probability of an event be `-2`? Give reason

Answer

To determine whether the probability of an event can be -2, we need to understand the fundamental properties of probability.

### Step-by-Step Solution:

1. **Understanding Probability**:
Probability is a measure of the likelihood of an event occurring. It is defined on a scale from 0 to 1, where:
- 0 means the event will not occur.
- 1 means the event will certainly occur.

2. **Range of Probability**:
The probability of any event must always be between 0 and 1, inclusive. This means:
- \( 0 \leq P(E) \leq 1 \)
where \( P(E) \) is the probability of event \( E \).

3. **Negative Probability**:
Since the range of probability is from 0 to 1, any value less than 0, including -2, is not a valid probability. Therefore, a probability cannot be negative.

4. **Conclusion**:
Based on the properties of probability, the answer to the question is that the probability of an event cannot be -2. It must always be a value within the range of 0 to 1.

### Final Answer:
No, the probability of an event cannot be -2 because probabilities must be between 0 and 1.

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