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In a pack of 52 playing cards… (Class 10 Maths 2024, Q22)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2024: question 22

Set in the CBSE Class 10 board exam of 2024, paper 30/1/1, section B, question 22, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22 · 2 marks · Very short answerProbability

In a pack of 52 playing cards one card is lost. From the remaining cards, a card is drawn at random. Find the probability that the drawn card is queen of heart, if the lost card is a black card.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/1/1.

Hints

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

Hint 1

How many cards are left to draw from?

Hint 2

Is the queen of hearts still in the pack if the lost card was black?

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. After one card is lost, the number of remaining cards is , so there are 51 possible outcomes.

    1 mark

  2. The lost card is black, so the queen of hearts (a red card) is still in the pack: 1 favourable outcome. .

    1 mark

Answer:

Where the marks are

  • Takes the total number of outcomes as 51 (1 mark)
  • Gets the probability (1 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 30/1/1 (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.