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A box contains 4 red and 3 blue identical balls. If two are picked at...

Further Mathematics
WAEC 2012

A box contains 4 red and 3 blue identical balls. If two are picked at random, one after the other without replacement, find the probability that one is red and the other is blue.

  • A. \(\frac{4}{7}\)
  • B. \(\frac{2}{7}\)
  • C. \(\frac{1}{7}\)
  • D. \(\frac{1}{12}\)
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Correct Answer: Option A
Explanation

P(one blue, other red) = P(1st red then blue) or P(1st blue then red)

= \((\frac{4}{7} \times \frac{3}{6}) + (\frac{3}{7} \times \frac{4}{6})\)

= \(\frac{2}{7} + \frac{2}{7} = \frac{4}{7}\)


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