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In a firing contest, the probabilities that Kojo and Kwame hit the target are \(\frac{2}{5}\)...

Further Mathematics
WAEC 2025

In a firing contest, the probabilities that Kojo and Kwame hit the target are \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively. What is the probability that none of them will hit the target?

  • A. \(\frac{1}{5}\)
  • B. \(\frac{4}{5}\)
  • C. \(\frac{2}{5}\)
  • D. \(\frac{3}{5}\)
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Correct Answer: Option C
Explanation

Probability that Konjo hit the target Pr(K) = \(\frac{2}{5}\)

Prob that Kwame hit the target Pr(kw) = \(\frac{1}{3}\)

Prob hat kojo doesn't hit the target Pr(K') = 1 - \(\frac{2}{5}\) = \(\frac{3}{5}\)

Prob that kwame doesn't hit the target pr(kw') = 1 - \(\frac{1}{3}\) = \(\frac{2}{3}\)

Prob that none hit the target = kojo and kwame doesn't hit the target = \(\frac{3}{5} \times \frac{2}{3}\) = \(\frac{2}{5}\)


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