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Mathematics — CBSE Class 10 board question

Q1. [1]
Which of the following can not be the probability of an event?
  1. (A) $\frac{39}{100}$
  2. (B) $\frac{0.001}{20}$
  3. (C) $\frac{10}{0.2}$
  4. (D) $10\%$
Previously asked in CBSE board exam
2026 30/5/1 Q10
Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer

(C) $\dfrac{10}{0.2}$

Since $\dfrac{10}{0.2} = 50$, which is greater than 1, it cannot be the probability of an event (probability must satisfy $0 \leq P(E) \leq 1$).

Source: Chapter 14, Section 14.1

Explanation

The key rule is $0 \leq P(E) \leq 1$. Check each option: (A) 39/100 = 0.39 ✓, (B) 0.001/20 = 0.00005 ✓, (D) 10% = 0.1 ✓ — all lie between 0 and 1. Only (C) equals 50, which exceeds 1, so it is impossible as a probability.

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