What could be the probability of happening of an event E?

Answer

To find the probability of an event E, we can follow these steps:

### Step 1: Understand the Definition of Probability
The probability of an event E is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

### Step 2: Write the Formula
The formula for probability can be expressed as:
\[ P(E) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]

### Step 3: Identify Favorable and Total Outcomes
To calculate the probability, you need to identify:
- **Favorable Outcomes**: The outcomes that result in the event E occurring.
- **Total Outcomes**: All possible outcomes that can occur in the experiment.

### Step 4: Example Calculation
Let's consider an example where you have a bag containing 5 balls: 2 red and 3 white.
- **Favorable Outcomes for drawing a red ball**: 2 (since there are 2 red balls)
- **Total Outcomes**: 5 (since there are 5 balls in total)

Using the formula:
\[ P(\text{Red Ball}) = \frac{2}{5} \]

### Step 5: Analyze the Result
The probability \( P(E) \) will always be a number between 0 and 1:
- If \( P(E) = 0 \), it means the event cannot happen.
- If \( P(E) = 1 \), it means the event will definitely happen.
- Any value between 0 and 1 indicates the likelihood of the event occurring.

### Conclusion
Thus, the probability of an event E can range from 0 to 1.

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