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
Correct Answer: D. 0.976
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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