The probability of an event is greater then or equal to ………… and less then or equal to ………….. .

Options

A. 1,0
B. `-1,1 `
C. 0 ,1
D. 0

Answer

To solve the question regarding the probability of an event, we need to establish the range of possible values for probability.

### Step-by-Step Solution:

1. **Understanding Probability**:
- Probability is a measure of how likely an event is to occur. It is expressed as a number between 0 and 1.

2. **Identifying the Lower Bound**:
- The lowest possible probability of an event is 0. This means that if the probability is 0, the event is considered an **impossible event**. Therefore, we can say:
\[ \text{Probability} \geq 0 \]

3. **Identifying the Upper Bound**:
- The highest possible probability of an event is 1. This means that if the probability is 1, the event is considered a **sure event**. Therefore, we can say:
\[ \text{Probability} \leq 1 \]

4. **Combining the Bounds**:
- From the above two points, we can conclude that the probability of any event \( E \) must satisfy the following condition:
\[ 0 \leq P(E) \leq 1 \]

5. **Final Answer**:
- Therefore, the probability of an event is greater than or equal to **0** and less than or equal to **1**.

### Summary:
The probability of an event is greater than or equal to **0** and less than or equal to **1**.

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