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Assertion (A): In a cricket… (Class 10 Maths 2024, Q20)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/3/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Standard 2024: question 20

Set in the CBSE Class 10 board exam of 2024, paper 30/3/1, section A, question 20, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q20 · 1 mark · Assertion-reasonCompetency-basedProbability

Assertion (A): In a cricket match, a batsman hits a boundary 9 times out of 45 balls he plays. The probability that in a given ball, he does not hit the boundary is .

Reason (R):

  1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  3. (C)Assertion (A) is true, but Reason (R) is false.
  4. (D)Assertion (A) is false, but Reason (R) is true.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/3/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Find the probability of hitting a boundary first.

Hint 2

Check whether R was used to get the answer in A.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. P(boundary) , so P(no boundary) . A is true.

  2. R is true, and R is exactly the rule used to find the answer in A. So the answer is option (A).

    1 mark

Answer: Option (A)

Where the marks are

  • Verifies A using R, option (A) (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Probability, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 30/3/1 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.