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Mathematics — CBSE Class 10 board question

Q1. [1]
A bag contains 5 pink, 8 blue and 7 yellow balls. One ball is drawn at random from the bag. What is the probability of getting neither a blue nor a pink ball?
  1. A $\frac{1}{4}$
  2. B $\frac{2}{5}$
  3. C $\frac{7}{20}$
  4. D $\frac{13}{20}$
Previously asked in CBSE board exam
2023 30/6/1 Q11
Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer

Total balls = 5 + 8 + 7 = 20. Neither blue nor pink means only yellow balls are favourable. Number of yellow balls = 7.

$$P(\text{neither blue nor pink}) = \frac{7}{20}$$

Answer: C $\dfrac{7}{20}$

Explanation

"Neither blue nor pink" means the ball must be yellow. Count yellow balls (7) over total balls (20). Eliminate the other two colours — don't add them to the favourable count.

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