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Three students A, B and C can solve 50%, 60% and 70% sums from a book. If one sum from that book is given then to solve, then what is the probability that the problem will be solved? |
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Answer»
P(A) = (50/100) = (5/10), P(B) = (60/100) = (6/10) and P(C) = (70/100) = (7/10) A, B, C are INDEPENDENT EVENTS. ∴ P(A ∪ B ∪ C) = 1 – P(A ∪ B ∪ C)' = 1 – P(A') ∙ P(B') ∙ P(C') = 1 – [(5/10)(4/10)(3/10)] = 1 – (6/100) = 0.94 ans
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