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Directions: Two… (Class 10 Maths Basic SQP 2026-27, Q19)

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MathsCBSE Class 10 · Basic · Sample paper, session 2026-27 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Basic sample paper 2026-27: question 19

From the official CBSE sample question paper for 2026-27, 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

Directions: Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.

ASSERTION (A): The probability of getting number 8 on rolling a die is zero (0).

REASON (R): The probability of an impossible event is zero (0).

  1. (A)Both Assertion (A) and Reason (R) are true and (R) is the correct explanation of Assertion (A).
  2. (B)Both Assertion (A) and Reason (R) are true but (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 sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

Which numbers can appear on a die?

Hint 2

What kind of event is 'getting 8', and what is its probability?

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 die shows only the numbers 1 to 6, so getting 8 is an impossible event. Hence A is true.

  2. R is true: an impossible event has probability 0. R explains why A is true. Option (A).

    1 mark

Answer: Option (A)

Where the marks are

  • Identifies both statements as true and R as the correct explanation of A (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 paperSample paper 2026-27 (Basic): 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.