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Two dice are rolled… (Class 10 Maths SQP 2024-25, Q22A)

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MathsCBSE Class 10 · Standard · Sample paper, session 2024-25 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard sample paper 2024-25: question 22(A)

From the official CBSE sample question paper for 2024-25, section B, question 22(A), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22(A) · 2 marks · Very short answerProbability

Two dice are rolled together bearing numbers . Find the probability that the product of numbers obtained is an odd number.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2024-25.

Hints

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

Hint 1

When is a product of two numbers odd?

Hint 2

Count the odd numbers on each die and pair them up.

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. Total number of outcomes .

    ½ mark

  2. The product is odd only when both numbers are odd. The odd faces are . The favourable outcomes are , which is outcomes.

    1 mark

  3. ½ mark

Answer:

Where the marks are

  • Total outcomes = 36 (½ mark)
  • Notes both numbers must be odd and lists the 9 favourable outcomes (1 mark)
  • Probability (½ 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 paperSample paper 2024-25 (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.