MathsCBSE Class 10 · Standard · Board exam 2024, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 3

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

Q3 · 1 mark · MCQProbability

Two dice are thrown together. The probability that they show different numbers is:

(A) $\frac{1}{6}$
(B) $\frac{5}{6}$
(C) $\frac{1}{3}$
(D) $\frac{2}{3}$

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

First count the total number of outcomes for two dice.

Hint 2

Count the doublets, then 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.

When two dice are thrown there are $6 \times 6 = 36$ outcomes. Exactly 6 of them show the same number: (1,1), (2,2), …, (6,6).
P(different numbers) $= 1 - \frac{6}{36} = \frac{30}{36} = \frac{5}{6}$ , which is option (B).
1 mark

Answer: $\frac{5}{6}$ , option (B)

Where the marks are

Obtains $\frac{5}{6}$ , option (B) (1 mark)

Revise the chapter

Chapter: Probability (notes, formulas, where marks are lost and every past question)
Topic: Properties of Probability and Complementary Events

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.

CBSE Class 10 Mathematics Standard 2024: question 3

Hints

Step-by-step solution

Revise the chapter

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