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Two dice are tossed… (Class 10 Maths Basic 2024, Q26)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/2/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2024: question 26

Set in the CBSE Class 10 board exam of 2024, paper 430/2/1, section C, question 26, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q26 · 3 marks · Short answerProbability

Two dice are tossed simultaneously. Find the probability of getting

  1. (a)

    an even number on both the dice.

    0 marks
  2. (b)

    the sum of two numbers more than 9.

    0 marks

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/2/1.

Hints

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

Hint 1

Write all outcomes as ordered pairs (first die, second die). There are 36 of them.

Hint 2

For (a), each die must show 2, 4 or 6. For (b), 'more than 9' means a sum of 10, 11 or 12.

Hint 3

Count the favourable pairs and divide by 36.

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. When two dice are tossed, total outcomes .

  2. (a) Even on both: (2,2), (2,4), (2,6), (4,2), (4,4), (4,6), (6,2), (6,4), (6,6). Favourable outcomes .

    1 mark

  3. (a)

    ½ mark

  4. (b) Sum more than 9 (that is, 10, 11 or 12): (4,6), (5,5), (6,4), (5,6), (6,5), (6,6). Favourable outcomes .

    1 mark

  5. (b)

    ½ mark

Answer: (a) ; (b)

Where the marks are

  • Lists the 9 favourable outcomes for even on both dice (1 mark)
  • Probability (½ mark)
  • Lists the 6 outcomes with sum 10, 11 or 12 (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 paper2024 board paper, set 430/2/1 (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.