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A box contains 2 white and 3 blue identical balls. If two balls are picked at...

Mathematics
WAEC 2019

A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

  • A. \(\frac{2}{3}\)
  • B. \(\frac{3}{5}\)
  • C. \(\frac{7}{20}\)
  • D. \(\frac{12}{25}\)
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Correct Answer: Option D
Explanation

(\(\frac{2}{5} \times \frac {3}{5}) + (\frac{3}{5} \times \frac{2}{5})\)

\(\frac{6}{25} + \frac{6}{25} = \frac{12}{25}\) 


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