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

Options

A. `2/3`
B. -1.5
C. `15%`
D. 0.7

Answer

To determine which of the following cannot be the probability of an event, we need to remember the fundamental properties of probability:

1. The probability of an event is always between 0 and 1, inclusive. This means:
- The minimum value of probability is 0 (indicating an impossible event).
- The maximum value of probability is 1 (indicating a certain event).

Now, let's analyze the given options (assuming we have options like 2/3, 0.15, and some other values):

### Step-by-step Solution:

1. **Identify the Range of Probability**:
- Recall that the probability \( P \) of any event must satisfy the condition \( 0 \leq P \leq 1 \).

2. **Evaluate Each Option**:
- **Option 1: \( \frac{2}{3} \)**
- Convert to decimal: \( \frac{2}{3} = 0.66 \)
- Check if it lies within the range: \( 0 \leq 0.66 \leq 1 \) (Valid)

- **Option 2: \( 0.15 \)**
- Check if it lies within the range: \( 0 \leq 0.15 \leq 1 \) (Valid)

- **Option 3: (Assuming a value like 1.5)**
- Check if it lies within the range: \( 1.5 \) is greater than 1 (Invalid)

3. **Conclusion**:
- The option that does not satisfy the probability condition is the one that is either less than 0 or greater than 1.

### Final Answer:
- The value that cannot be the probability of an event is **1.5** (or whichever value exceeds 1).