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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § Chapter Opening and Epigraph
A bag contains red balls and black balls in the ratio 3 : 7. A ball is drawn at random. The probability that ball so drawn is black in colour, is
  1. A $\frac{3}{7}$
  2. B 0.3
  3. C 0.7
  4. D $\frac{1}{7}$
Previously asked in CBSE board exam
2025 30/5/1 Q7
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Model Answer

Option C: 0.7

Ratio of red : black = 3 : 7, so total parts = 10. P(black) = 7/10 = 0.7.

Source: Chapter 14, Section 14.1

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Explanation

Total balls = 3 + 7 = 10 parts. Favourable outcomes (black) = 7. P(black) = 7/10 = 0.7. Note that 3/7 is the ratio of red to black, not a probability — a common mistake to avoid.

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