CUET · MATHS · PYQ PAPER 2023
A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random (without replacement), then the probability that both the balls are white is:
- A \(\frac{1}{36}\)
- B \(\frac{1}{24}\)
- C \(\frac{1}{12}\)
- D \(\frac{1}{18}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{12}\)
Step-by-step Solution
Detailed explanation
Total ways to draw 2 balls \( = \binom{3+4+2}{2} = \binom{9}{2} = \frac{9 \times 8}{2} = 36 \) Ways to draw 2 white balls \( = \binom{3}{2} = \frac{3 \times 2}{2} = 3 \) Probability \( = \frac{3}{36} = \frac{1}{12} \)
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