Question

Which of the following can not be the probability of an event?

• A. \(\frac{39}{100}\)
• B. \(\frac{0.001}{20}\)
• C. \(\frac{10}{0.2}\)
• D. \(10\%\)

Hint:

In probability questions, if you see a numerator larger than the denominator (after simplifying), that value is always invalid.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The probability \(P(E)\) of any event \(E\) must satisfy the condition: \(0 \le P(E) \le 1\). It can never be negative and never be greater than \(1\).
Step 2: Detailed Explanation:
(A) \(\frac{39}{100} = 0.39\) (In range \([0, 1]\))
(B) \(\frac{0.001}{20} = 0.00005\) (In range \([0, 1]\))
(C) \(\frac{10}{0.2} = \frac{100}{2} = 50\) (Greater than \(1\))
(D) \(10\% = 0.10\) (In range \([0, 1]\))
Since \(50>1\), it cannot be a probability.
Step 3: Final Answer:
Option (C) \(\frac{10}{0.2}\) cannot be a probability.