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Question: Answered & Verified by Expert
A lot of 4 white and 4 red balls is randomly divided into two halves. What is the probability that there will be 2 red and 2 white balls in each half?
MathematicsProbabilityNDANDA 2010 (Phase 2)
Options:
  • A $18 / 35$
  • B $3 / 35$
  • C $1 / 2$
  • D None of these
Solution:
2291 Upvotes Verified Answer
The correct answer is: $18 / 35$
Required probability $=\frac{{ }^{4} C_{2} \times{ }^{4} C_{2}}{{ }^{8} C_{2}}=\frac{36}{70}=\frac{18}{35}$

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