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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Probability

NDA 2012 · Mathematics · Probability

An urn contains one black ball and one green ball. A second urn...

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?

Options

  1. A12\frac{1}{2}
  2. B13\frac{1}{3}
  3. C14\frac{1}{4}
  4. D23\frac{2}{3}

Correct answer

C. 14\frac{1}{4}

Step-by-step solution

Since, ball should be of same colour So, colour is green Ways of selecting a green ball from Isturn=1/2\mathrm{I}^{\mathrm{st}} \mathrm{urn}=1 / 2 Ways of selecting a green ball from IInd \mathrm{II}^{\text{nd }} urn =1/2=1 / 2 Now, probability that both balls should be of same  colour =12×2=14.\text{ colour }=\frac{1}{2 \times 2}=\frac{1}{4}.
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