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A and B are two independent events such that P(A) = \(\frac{2}{5}\) and P(A∩B) =...

Further Mathematics
WAEC 2025

A and B are two independent events such that P(A) = \(\frac{2}{5}\) and P(A∩B) = \(\frac{1}{15}\)  find P(B)

  • A. \(\frac{1}{6}\)
  • B. \(\frac{1}{3}\)
  • C. \(\frac{2}{15}\)
  • D. \(\frac{3}{5}\)
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Correct Answer: Option A
Explanation

Since A and B are independent events

Then, P(A∩B) = P(A) x P(B)

\(\frac{1}{15}\) = \(\frac{2}{5}\) x P(B)

P(B) = \(\frac{1}{15}\) x \(\frac{5}{2}\) = \(\frac{1}{6}\)

 

 


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post UTME Past Questions Agent
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