Skip to content

While shuffling a pack of 52… (Class 10 Maths 2025, Q25)

questionbuddy.in/q/cbse-10-maths-2025-30-5-1-q25-shuffling-pack-cards-card-accidentally

MathsCBSE Class 10 · Standard · Board exam 2025, set 30/5/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2025: question 25

Set in the CBSE Class 10 board exam of 2025, paper 30/5/1, 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

While shuffling a pack of 52 cards, one card was accidentally dropped. Find the probability that the dropped card

  1. (i)

    is not a face card.

    1 mark
  2. (ii)

    is a black king.

    1 mark

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/5/1.

Hints

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

Hint 1

How many face cards are there in a pack of 52 cards?

Hint 2

Kings come in 4 suits. How many of those suits are 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. (i) Total outcomes = 52. There are 12 face cards (J, Q, K in each of 4 suits), so 52 − 12 = 40 cards are not face cards. P(not a face card)

    1 mark

  2. (ii) There are 2 black kings (spades and clubs). P(black king)

    1 mark

Answer: (i) ; (ii)

Where the marks are

  • P(not a face card) (1 mark)
  • P(black king) (1 mark)

Revise the chapter

  • Chapter: Probability (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Probability, one at a time, marked against the answer key and marking points.Back to the full paper2025 board paper, set 30/5/1 (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.