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Question: Answered & Verified by Expert
A committee of two persons is contituted from two men and two women. What is the probability that the committee will have only women?
MathematicsProbabilityNDANDA 2017 (Phase 1)
Options:
  • A $\frac{1}{6}$
  • B $\frac{1}{3}$
  • C $\frac{1}{2}$
  • D $\frac{2}{3}$
Solution:
1015 Upvotes Verified Answer
The correct answer is: $\frac{1}{6}$
$2 \mathrm{Men}+2$ Women Required probability $=\frac{{ }^{2} \mathrm{C}_{0} \times{ }^{2} \mathrm{C}_{2}}{{ }^{4} \mathrm{C}_{2}}=\frac{1 \times 1}{6}=\frac{1}{6}$

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