AP EAMCET · Maths · Probability
A box contains twelve balls of which 4 are red, 5 are green and 3 are white. If three balls are drawn at random simultaneously from the box, then the probability that exactly 2 balls have the same colour is
- A \(\frac{27}{44}\)
- B \(\frac{29}{44}\)
- C \(\frac{17}{22}\)
- D \(\frac{31}{44}\)
Answer & Solution
Correct Answer
(B) \(\frac{29}{44}\)
Step-by-step Solution
Detailed explanation
Total ways to draw 3 balls: \( \binom{12}{3} = \frac{12 \times 11 \times 10}{3 \times 2 \times 1} = 220 \) Ways to draw exactly 2 balls of the same color (2R1G + 2R1W + 2G1R + 2G1W + 2W1R + 2W1G):…
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