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If the probability of a player… (Class 10 Maths 2024, Q2)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 2

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

Q2 · 1 mark · MCQProbability

If the probability of a player winning a game is 0.79, then the probability of his losing the same game is:

  1. (A)1.79
  2. (B)0.31
  3. (C)0.21%
  4. (D)0.21

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

Winning and losing cannot both happen, and one of them must happen.

Hint 2

.

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. Winning and losing are complementary events, so .

  2. . Option (C) is wrong because means . So the answer is option (D).

    1 mark

Answer: 0.21, option (D)

Where the marks are

  • Uses to get 0.21, option (D) (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.