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Assertion (A) : If probability… (Class 10 Maths 2026, Q19)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/4/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Standard 2026: question 19

Set in the CBSE Class 10 board exam of 2026, paper 30/4/1, section A, question 19, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q19 · 1 mark · Assertion-reasonCompetency-basedProbability

Assertion (A) : If probability of happening of an event is 0.2p, p > 0, then p can’t be more than 5.
Reason (R) : for an event E.

  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 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 2026 board paper, set 30/4/1.

Hints

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

Hint 1

What is the largest value a probability can take?

Hint 2

Does the complement rule give that bound?

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. A: , so A is true.

  2. R is a true fact, but A follows from , not from the complement rule; so R does not explain A. Option (B).

    1 mark

Answer: Option (B)

Where the marks are

  • Both true, R not the explanation (1 mark)

Revise the chapter

  • Chapter: Probability (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Probability, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/4/1 (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.