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Assertion (A) : The… (Class 10 Maths Basic 2024, Q19)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/5/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Basic 2024: question 19

Set in the CBSE Class 10 board exam of 2024, paper 430/5/1, 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) : The probability of getting number 8 on rolling a die is zero (0).
Reason (R) : The probability of an impossible event is zero (0).

Codes: (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A). (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A). (C) Assertion (A) is true, but Reason (R) is false. (D) Assertion (A) is false, but Reason (R) is true.

  1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of 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 2024 board paper, set 430/5/1.

Hints

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

Hint 1

Can a die ever show 8?

Hint 2

What is the probability of an event that cannot happen?

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 1 to 6, so getting 8 is an impossible event; its probability is 0 — Assertion true.

  2. Reason is a true fact and it directly explains the Assertion, so option (A).

    1 mark

Answer: Option (A)

Where the marks are

  • Both true and R explains 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 paper2024 board paper, set 430/5/1 (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.