Three students are working independently on a Mathematics...
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?
0.024
0.336
0.664
0.976
Correct answer is D
\(P(\text{at least one solves the problem}) = 1 - P(\text{none solving the problem})\)
= 1 - (0.4)(0.3)(0.2)
= 1 - 0.024
= 0.976
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