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Question: Answered & Verified by Expert
A bag contains 5 black and 3 white balls. Two balls are drawn at random one after the other without replacement. What is the probability that both are white?
MathematicsProbabilityNDANDA 2013 (Phase 1)
Options:
  • A $\frac{1}{28}$
  • B $\frac{1}{14}$
  • C $\frac{3}{28}$
  • D None of these above
Solution:
2537 Upvotes Verified Answer
The correct answer is: $\frac{3}{28}$
Total number of balls $=5+3=8$. Prob (both ball are white)
$=\frac{3}{8} \times \frac{2}{7}(\because$ No. of white ball $=3)$
$=\frac{3}{28}$

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