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Mathematics — CBSE Class 10 board question

Q1. [1]
In a cricket match, a batsman hits the boundary 7 times out of the 42 balls he plays. The probability of his not hitting a boundary is :
  1. A $\dfrac{1}{6}$
  2. B $\dfrac{5}{6}$
  3. C $\dfrac{5}{7}$
  4. D $\dfrac{7}{42}$
Previously asked in CBSE board exam
2025 30/2/1 Q11
Generated by claude-sonnet-4-6 · 2026-06-15 10:28 · grounding rag
Model Answer

P(hitting a boundary) = 7/42 = 1/6

P(not hitting a boundary) = 1 − 1/6 = 5/6

Answer: (B) $\dfrac{5}{6}$

Source: Chapter 14, Section 14.1

Explanation

Use the complementary event formula: $P(\bar{E}) = 1 - P(E)$. First find P(hitting) = 7/42 = 1/6, then subtract from 1. Option B is correct.

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