MathsCBSE Class 10 · Basic · Board exam 2023, set 430/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2023: question 6

Set in the CBSE Class 10 board exam of 2023, paper 430/4/1, section A, question 6, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q6 · 1 mark · MCQProbability

Which of the following cannot be the probability of an event?

(A) $0.1$
(B) $\frac{5}{3}$
(C) $3%$
(D) $\frac{1}{3}$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/4/1.

Hints

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

Hint 1

What range of values can a probability take?

Hint 2

Check which option is greater than 1.

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.

The probability of any event lies between 0 and 1, i.e. $0 \leq P (E) \leq 1$ .
$\frac{5}{3} > 1$ , so it cannot be a probability. The other options, $0.1$ , $3% = 0.03$ and $\frac{1}{3}$ , all lie in $[0, 1]$ . Answer: option (B).
1 mark

Answer: $\frac{5}{3}$ , option (B)

Where the marks are

Uses $0 \leq P (E) \leq 1$ to reject $\frac{5}{3}$ (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 paper2023 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.

CBSE Class 10 Mathematics Basic 2023: question 6

Hints

Step-by-step solution

Revise the chapter

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