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Mathematics — CBSE Class 10 board question

Q1. [1]
Which of the following numbers cannot be the probability of happening of an event ?
  1. (a) $0$
  2. (b) $7$
  3. (c) $0 \cdot 01$
  4. (d) $\dfrac{0 \cdot 07}{3}$
Previously asked in CBSE board exam
2023 30/5/1 Q17
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

(b) 7

Since probability of any event must satisfy $0 \leq P(E) \leq 1$, the value 7 exceeds 1 and hence cannot be a probability.

Source: Chapter 14, Section 14.2 Summary

Explanation

The key rule is $0 \leq P(E) \leq 1$. Check each option: 0 is valid (impossible event), 0.01 is between 0 and 1, and $\frac{0.07}{3} \approx 0.023$ is also between 0 and 1. Only 7 exceeds 1, making it impossible as a probability value. Examiners expect you to state the rule and identify the violating option.

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