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

Options

A. `17/16`
B. 0.01
C. `10%`
D. `1/4`

Answer

To determine which among the given options cannot be the probability of an event, we need to recall the fundamental properties of probability. The probability of any event must always lie between 0 and 1, inclusive. This means that:

- The minimum probability is 0 (impossible event).
- The maximum probability is 1 (certain event).

Now, let's analyze the options one by one.

### Step-by-Step Solution:

1. **Identify the options**: We need to evaluate the given options to see if they fall within the range of 0 to 1.

2. **Evaluate Option 1: 17/16**
- Calculate: \( \frac{17}{16} = 1.0625 \)
- Since \( 1.0625 > 1 \), this value is **not a valid probability**.

3. **Evaluate Option 2: 0.001**
- This value is clearly between 0 and 1.
- Therefore, \( 0.001 \) is a **valid probability**.

4. **Evaluate Option 3: 10%**
- Convert percentage to decimal: \( 10\% = \frac{10}{100} = 0.1 \)
- Since \( 0.1 \) is between 0 and 1, this is a **valid probability**.

5. **Evaluate Option 4: 1/4**
- Calculate: \( \frac{1}{4} = 0.25 \)
- Since \( 0.25 \) is between 0 and 1, this is also a **valid probability**.

### Conclusion:
Among the options evaluated, the only value that cannot be a probability of an event is **Option 1: 17/16**.

### Final Answer:
**The option that cannot be the probability of an event is 17/16.**

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