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One card is drawn at random… (Class 10 Maths 2024, Q21)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/3/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2024: question 21

Set in the CBSE Class 10 board exam of 2024, paper 30/3/1, section B, question 21, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q21 · 2 marks · Very short answerProbability

One card is drawn at random from a well shuffled deck of 52 cards. Find the probability that the card drawn

  1. (i)

    is queen of hearts;

    1 mark
  2. (ii)

    is not a jack.

    1 mark

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/3/1.

Hints

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

Hint 1

How many queens of hearts are there in a deck?

Hint 2

A deck has 4 jacks, so use the complement.

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 = 52.

  2. (i) There is only one queen of hearts, so P(queen of hearts) .

    1 mark

  3. (ii) There are 4 jacks, so 48 cards are not jacks. P(not a jack) .

    1 mark

Answer: (i) ; (ii)

Where the marks are

  • (i) Gets (1 mark)
  • (ii) Gets (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 30/3/1 (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.