A committee of $5$ is chosen from $9$ people. The probability that a married couple serves together or not at all is
- A. $\frac{5}{9}$
- B. $\frac{1}{2}$
- C. $\frac{2}{3}$
- D. $\frac{4}{9}$
✅ Correct Answer: $\frac{4}{9}$
Explanation
Total ways $= {9 \choose 5}$ Favourable ways $= {7 \choose 3} + {7 \choose 5}$ Probability $= \frac{4}{9}$
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