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Three students are working independently on a Mathematics problem. Their respective probabilities of solving the...

Further Mathematics
WAEC 2007

Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?

  • A. 0.024
  • B. 0.336
  • C. 0.664
  • D. 0.976
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Correct Answer: Option D
Explanation

\(P(\text{at least one solves the problem}) = 1 - P(\text{none solving the problem})\)

= 1 - (0.4)(0.3)(0.2)

= 1 - 0.024

= 0.976


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