Skip to content

One card is drawn at… (Class 10 Maths Basic 2024, Q29)

questionbuddy.in/q/cbse-10-maths-2024-430-4-1-q29-card-drawn-random-well-shuffled

MathsCBSE Class 10 · Basic · Board exam 2024, set 430/4/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2024: question 29

Set in the CBSE Class 10 board exam of 2024, paper 430/4/1, section C, question 29, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q29 · 3 marks · Short answerProbability

One card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that the card drawn is :
(i) a red king.
(ii) not a black card.
(iii) an ace of hearts.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/4/1.

Hints

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

Hint 1

A deck has 26 red and 26 black cards, with 4 suits of 13 cards each.

Hint 2

Count the favourable cards in each case and divide by 52.

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 possible outcomes = 52. (i) There are 2 red kings (hearts and diamonds), so .

    1 mark

  2. (ii) The cards that are not black are the 26 red cards, so .

    1 mark

  3. (iii) There is 1 ace of hearts, so .

    1 mark

Answer: (i) 1/26; (ii) 1/2; (iii) 1/52

Where the marks are

  • P(red king) = 2/52 = 1/26 (1 mark)
  • P(not black) = 26/52 = 1/2 (1 mark)
  • P(ace of hearts) = 1/52 (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 430/4/1 (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.