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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.

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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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