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A problem in a question paper is given to 3 students in a class to be solved. The probabilities of their solving the problem are 0.5, 0.7 and 0.8 respectively. Find the probability that the problem will be solved. Select the correct answer from above options

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Let P(A) = P(A Solves the problem) = 0.5 P(B) = P(B solves the problem) = 0.7 P(C) = P(C solves the problem) = 0.8 P(Problem is solved) = 1 – P(None of then solves 0 = 1 – P(A’ B’ C’) = 1 – F(A’) F(B’) P(C’) =1 – (0.5)(0.3)(0.2) = 1 – 0.03 = 0.97

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