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From a well-shuffled deck… (Class 10 Maths Basic 2023, Q25)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/2/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2023: question 25

Set in the CBSE Class 10 board exam of 2023, paper 430/2/1, section B, question 25, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q25 · 2 marks · Very short answerProbability

From a well-shuffled deck of 52 playing cards, all diamond cards are removed. Now, a card is drawn from the remaining pack at random. Find the probability that the selected card is a king.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/2/1.

Hints

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

Hint 1

How many cards are in one suit? Subtract them from 52.

Hint 2

One of the four kings was a diamond. How many kings remain?

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 removing the 13 diamond cards, the number of cards left , so there are 39 equally likely outcomes.

    ½ mark

  2. One king (king of diamonds) has been removed, so favourable outcomes = number of kings left = 3.

    ½ mark

  3. 1 mark

Answer:

Where the marks are

  • Total cards remaining = 39 (1/2 mark)
  • Kings remaining = 3 (1/2 mark)
  • 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 paper2023 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.