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 satisfy the following conditions:

1. The probability must be a number between 0 and 1, inclusive. This means:
- \(0 \leq P(E) \leq 1\)

Now, let's analyze each option one by one.

### Step 1: Analyze the first option (17/16)
- Calculate \( \frac{17}{16} \):
\[ \frac{17}{16} = 1.0625 \]
- Since \(1.0625 > 1\), this value does not satisfy the condition for probability.

### Step 2: Analyze the second option (0.01)
- The value \(0.01\) is already in decimal form.
- Since \(0.01\) is greater than 0 and less than 1, it satisfies the probability condition.

### Step 3: Analyze the third option (1/4)
- Calculate \( \frac{1}{4} \):
\[ \frac{1}{4} = 0.25 \]
- Since \(0.25\) is greater than 0 and less than 1, it satisfies the probability condition.

### Conclusion
The only option that does not satisfy the probability condition is \( \frac{17}{16} \).

Thus, the answer is:
**The probability that cannot be an event is \( \frac{17}{16} \).**

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