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The probability that Amaka will pass an examination is \(\frac{3}{7}\) and that Bala will pass is \(\frac{4}{9}\). Find the...

Mathematics
WAEC 2024

The probability that Amaka will pass an examination is \(\frac{3}{7}\) and that Bala will pass is \(\frac{4}{9}\). Find the probability that both will pass the examination.

  • A. \(\frac{2}{21}\)
  • B. \(\frac{4}{21}\).
  • C. \(\frac{5}{21}\)
  • D. \(\frac{9}{21}\)
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Correct Answer: Option B
Explanation

Pr(Amaka passes) = \(\frac{3}{7}\), Pr(Bala passes) = \(\frac{4}{9}\).

Pr(both Amaka and Bala pass the exam) =  \(\frac{3}{7}\) x \(\frac{4}{9}\) = \(\frac{4}{21}\).


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