CBSE Class 10 Mathematics Basic 2024: question 23
Set in the CBSE Class 10 board exam of 2024, paper 430/2/1, section B, question 23, for 2 marks. Try it first; the hints and our step-by-step solution are below.
Q23 · 2 marks · Very short answerProbability
15 defective pens are accidentally mixed with 145 good ones. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/2/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
How many pens are there altogether in the lot?
Hint 2
Probability = (number of favourable outcomes) ÷ (total number of outcomes).
Hint 3
Simplify the fraction at the end.
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 mark
Total number of pens . These are the equally likely outcomes.
- 1 mark
Number of good pens (favourable outcomes) .
Answer:
Where the marks are
- Total outcomes = 160 (1 mark)
- (1 mark)
Revise the chapter
- Chapter: Probability (notes, formulas, where marks are lost and every past question)
- Topic: Probability: Basic Terms and Classical Definition
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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.