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Question: Answered & Verified by Expert
An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn.
What is the probability that both balls are of same colour?
MathematicsProbabilityNDANDA 2012 (Phase 2)
Options:
  • A $1 / 2$
  • B $1 / 3$
  • C $1 / 4$
  • D $2 / 3$
Solution:
1210 Upvotes Verified Answer
The correct answer is: $1 / 4$
Total number of balls in urn $-\mathrm{I}=1$ Black $+1$ Green $=2$ Balls Total number of balls in urn $-\mathrm{II}=1$ White $+1$ Green $=2$ Balls
Required prob $=(1 \mathrm{G})_{\mathrm{I}} \times(1 \mathrm{G})_{\mathrm{II}}=\frac{1}{2} \times \frac{1}{2}=\frac{1}{4}$

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